{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_star = pd.read_csv('id_unique_star.csv',encoding='utf-8')\n",
    "df_athlete = pd.read_csv('id_unique_athlete.csv',encoding='utf-8')\n",
    "df_beauty = pd.read_csv('id_unique_beauty.csv',encoding='utf-8')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_star['type'] = 'star'\n",
    "df_beauty['type'] = 'beauty'\n",
    "df_athlete['type'] = 'athlete'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.concat([df_athlete,df_beauty,df_star],axis=0)\n",
    "df = df.reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['label2'] = (df['reCount']+df['comCount']+df['atCount'])/df['idCount']\n",
    "df['label'] = df['label2'].apply(lambda x: 1 if x>0.1 else 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['label_count'] = df['reCount']+df['comCount']+df['atCount']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAggAAAGRCAYAAAAAfUt1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUoEBQZIkFRgQJElSwf8HxyN6Z/rbeeUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2362d89d898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 每个明星粉丝男女比例\n",
    "gender1 = df[df['gender']==1].groupby(df[\"type\"]).size()\n",
    "gender0 = df[df['gender']==0].groupby(df[\"type\"]).size()\n",
    "pro0 = gender0/(gender0+gender1)\n",
    "pro1 = gender1/(gender0+gender1)\n",
    "\n",
    "plt.figure(dpi=100)\n",
    "plt.xticks(fontsize=10,rotation=90)\n",
    "plt.title(\"gender\")\n",
    "plt.bar(pro0.index, pro0.values,label = \"female\")\n",
    "plt.bar(pro1.index, pro1.values,bottom=pro0, label='male')\n",
    "plt.legend(title='click',loc='upper right')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\WinPython-64bit-3.6.3.0Qt5\\python-3.6.3.amd64\\lib\\site-packages\\matplotlib\\cbook\\deprecation.py:106: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
      "  warnings.warn(message, mplDeprecation, stacklevel=1)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAADSCAYAAABAbduaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n5QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23637148a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fans的followers\n",
    "follower_mean = df['followers_count'].groupby(df[\"type\"]).mean()\n",
    "follower_median = df['followers_count'].groupby(df[\"type\"]).median()\n",
    "follower_max = df['followers_count'].groupby(df[\"type\"]).max()\n",
    "\n",
    "fig = plt.figure(figsize=(5,3))\n",
    "plt.title(\"followers_count\")\n",
    "xloc = np.linspace(1,14,3)\n",
    "ax1 = fig.add_subplot(111) \n",
    "rects01 = ax1.bar(xloc, follower_mean.values, width = 1, color='red',linewidth=0.5,alpha=0.8)\n",
    "ax2 = ax1.twinx()\n",
    "rects02 = ax2.bar(xloc+1,follower_median.values ,width = 1, color='green',linewidth=0.5,alpha=0.8)\n",
    "plt.xlabel(u'ID', fontsize=15, labelpad=10)\n",
    "plt.ylabel(u'numbers', fontsize=15, labelpad=10)\n",
    "plt.legend((rects01,rects02),( u'mean',u'median'), fontsize=15) \n",
    "plt.xticks(xloc+0.15,follower_mean.index, fontsize=10 ,rotation =45)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\WinPython-64bit-3.6.3.0Qt5\\python-3.6.3.amd64\\lib\\site-packages\\matplotlib\\cbook\\deprecation.py:106: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
      "  warnings.warn(message, mplDeprecation, stacklevel=1)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVsAAAEBCAYAAADW2gZ8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ntmZmOXDYmpnlwGFrZpYDh62ZWQ7+H5iDOZPHgwfNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23639ed1dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fans的follow\n",
    "follow_mean = df['follow_count'].groupby(df[\"type\"]).mean()\n",
    "follow_median = df['follow_count'].groupby(df[\"type\"]).median()\n",
    "\n",
    "fig = plt.figure(figsize=(5,3))\n",
    "plt.title(\"follows_count\")\n",
    "xloc = np.linspace(1,14,3)\n",
    "ax1 = fig.add_subplot(111) \n",
    "rects01 = ax1.bar(xloc, follow_mean.values, width = 1, color='red',linewidth=0.5,alpha=0.8)\n",
    "# ax2 = ax1.twinx()\n",
    "rects02 = ax1.bar(xloc+1,follow_median.values ,width =1, color='green',linewidth=0.5,alpha=0.8)\n",
    "plt.xlabel(u'ID', fontsize=15, labelpad=10)\n",
    "plt.ylabel(u'numbers', fontsize=15, labelpad=10)\n",
    "plt.legend((rects01,rects02),( u'mean',u'median'), fontsize=15) \n",
    "plt.xticks(xloc+0.15,follow_mean.index, fontsize=10 ,rotation =45)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\WinPython-64bit-3.6.3.0Qt5\\python-3.6.3.amd64\\lib\\site-packages\\matplotlib\\cbook\\deprecation.py:106: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
      "  warnings.warn(message, mplDeprecation, stacklevel=1)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWIAAAEBCAYAAABCPK+OAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nF1eRKoDDyQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a3be7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fans的statuses_count\n",
    "status_mean = df['statuses_count'].groupby(df[\"type\"]).mean()\n",
    "status_median = df['statuses_count'].groupby(df[\"type\"]).median()\n",
    "\n",
    "fig = plt.figure(figsize=(5,3))\n",
    "plt.title(\"statuses_count\")\n",
    "xloc = np.linspace(1,14,3)\n",
    "ax1 = fig.add_subplot(111) \n",
    "rects01 = ax1.bar(xloc, status_mean.values, width = 1, color='red',linewidth=0.5,alpha=0.8)\n",
    "# ax2 = ax1.twinx()\n",
    "rects02 = ax1.bar(xloc+1,status_median.values ,width = 1, color='green',linewidth=0.5,alpha=0.8)\n",
    "plt.xlabel(u'ID', fontsize=15, labelpad=10)\n",
    "plt.ylabel(u'numbers', fontsize=15, labelpad=10)\n",
    "plt.legend((rects01,rects02),( u'mean',u'median'), fontsize=15) \n",
    "plt.xticks(xloc+0.15,status_mean.index, fontsize=10 ,rotation =45)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\WinPython-64bit-3.6.3.0Qt5\\python-3.6.3.amd64\\lib\\site-packages\\matplotlib\\cbook\\deprecation.py:106: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
      "  warnings.warn(message, mplDeprecation, stacklevel=1)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV8AAAEBCAYAAADfMaYGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a283e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fans的urank\n",
    "urank_mean = df['urank'].groupby(df[\"type\"]).mean()\n",
    "urank_median = df['urank'].groupby(df[\"type\"]).median()\n",
    "\n",
    "fig = plt.figure(figsize=(5,3))\n",
    "plt.title(\"urank\")\n",
    "xloc = np.linspace(1,14,3)\n",
    "ax1 = fig.add_subplot(111) \n",
    "rects01 = ax1.bar(xloc, urank_mean.values, width = 1, color='red',linewidth=0.5,alpha=0.8)\n",
    "# ax2 = ax1.twinx()\n",
    "rects02 = ax1.bar(xloc+1,urank_median.values ,width = 1, color='green',linewidth=0.5,alpha=0.8)\n",
    "plt.xlabel(u'ID', fontsize=15, labelpad=10)\n",
    "plt.ylabel(u'numbers', fontsize=15, labelpad=10)\n",
    "plt.legend((rects01,rects02),( u'mean',u'median'), fontsize=15) \n",
    "plt.xticks(xloc+0.15,urank_mean.index, fontsize=10 ,rotation =45)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVgAAAD1CAYAAAAVme3EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzt3X2clXP+x/HXp5puRk01phvbSDdk\nN/eaIlrd3whZpVS2lRAWS0mriPKzFr+lsERutpbY0koptVaqXUwpq/2tUGgTSTdCItT0+f1xXXPM\nbXPONGfOmZn38/E4j+Zc1zXX+TSn+fQ9n+t7fT/m7oiISNmrlugAREQqKyVYEZE4UYIVEYkTJVgR\nkThRghURiRMlWBGROFGCFRGJEyVYEZE4UYIVEYkTJVgRkTipkegA4ikjI8NbtGiR6DBEpJJ58803\nd7h7o5KOq9QJtkWLFqxevTrRYYhIJWNmH0VznEoEIiJxogQrIhInSrAiInGiBCsiEidKsCIicVKp\nZxFI2dq1axfbtm1j7969iQ6lsC1bDv4chx128OeQCi8lJYXGjRuTlpZ20OdSgpWo7Nq1i61bt9Ks\nWTPq1KmDmSU6pPzKovXRz3528OeQCs3d2bNnD5s3bwY46CSrEoFEZdu2bTRr1ozU1NTkS64iZcTM\nSE1NpVmzZmzbtu2gz5c0CdbM+pjZOjP7wMxuLGL/ZDNbEz7Wm9mXiYizqtq7dy916tRJdBgi5aJO\nnTplUgpLihKBmVUHHgR6Ap8Aq8xsvru/k3uMu4/Kc/w1wEnlHmgVp5GrVBVl9W89WUawHYAP3H2D\nu/8A/AU49wDHDwGeKZfIRERKKVkSbDPg4zzPPwm3FWJmRwAtgVfKIS6pAt5+/33smGNYtmxZokNh\n+vTpmBm7d++O6fteeuklpkyZUmj78OHDycrKKqvwJEbJkmCLGo8Xd1l4MDDH3XOKPJHZSDNbbWar\nt2/fXmYBipSHs846i+zsbFJTU2P6vuIS7IQJE5g+fXoZRSexSooaLMGI9fA8zzOBT4s5djBwVXEn\ncvdpwDSArKysMpi7IweUqNFRJVslLScnh5ycHBo1akSjRiWughe11q1bl9m5JHbJMoJdBRxlZi3N\nrCZBEp1f8CAzOxpoCGSXc3xSiTz0zDMc3r07h2Rlcc6vf82WAp909u/fz5133smRRx5JrVq1aNOm\nDTNmzMh3zKuvvsrPf/5z0tLSSEtL48QTT+TZZ5/Nd8yjjz7KcccdR+3atWnSpAnnn38+X331FfDj\nR/fnn3+eY445htq1a7Ny5cpCJYKNGzdiZjz99NMMGzaMevXq0bhxYyZNmhR5nYkTJ3LPPffw0Ucf\nYWaYGcOHD8/3OnmtWbOG7t27k5qaSsOGDbnwwgvZunVrZH/ua86ePZvLL7+c+vXrk5mZya233sr+\n/fuj/jmbGZMnT+b666/n0EMPJSMjgz/84Q8AzJgxg1atWtGgQQNGjBjBd999l+97N23axODBg0lP\nTyc1NZXevXuzbt26fMfceOONHHfccdStW5fMzEwuvPBCPvvss3zHtGjRgjFjxjB58mQyMzNp2LAh\ngwcP5ssvy2cSUlIkWHffB1wN/A14F5jt7mvN7DYz65fn0CHAX9zLYla5VEXzXnmFq26/nbM7d+a5\nKVM4rk0bRkyYkO+Ya665httvv52RI0eycOFCzjvvPEaMGMGCBQuA4KaLs88+m1atWvHXv/6VOXPm\nMGzYsHy/tLfffjuXX345nTt35vnnn2fq1KnUr18/X21148aNjB07lnHjxvHiiy/SsmXLYuO+4YYb\nSE1NZc6cOVx22WVMmjSJBx98EIBLL72UoUOH0rRpU7Kzs8nOzmZCgb9Tru3bt9OlSxe+/fZbnn76\naR544AGWL19Oz549+eGHH/IdO3bsWOrWrcucOXP45S9/yW233cacOXNi+nnfc8897N69m2eeeYah\nQ4dyww03MHbsWKZPn87999/PHXfcwcyZM/OVN3bu3EmnTp1Yt24dDz/8MLNnz+abb76hR48e7Nmz\nJ3Lctm3bGD9+PAsXLmTKlCls2LCBbt26kZOTv3o4e/ZslixZwrRp07jrrrtYsGAB48ePj+nvUWru\nXmkf7dq1cykb77zzTtE72rVLzKOgtWujerQ/9ljv06lTvm2XDhjggC9dutTff/99NzOfPn16vtMP\nGzbMs7Ky3N191apVDviuXbuK/JF88cUXXqdOHR81alSxP8+LLrrIAX/rrbfybf/Tn/7kgH/99dfu\n7v7f//7XAe/Zs2e+4y699FL/yU9+4jk5Oe7ufv311/sRRxxR5Ovk/T347W9/6/Xr1/evvvoqsm3l\nypUO+NNPP53vNYcNG5bvXCeccIJfcMEFxf6dCgK8S5cukec5OTnetGlTb9CgQb7XHzhwoHfo0CHy\n/Oabb/b09HT//PPPI9t27tzpaWlp/sc//rHI19q3b59/8sknDvjy5csj24844ghv1aqV7927N7Lt\n2muv9SZNmpQYf7H/5oO/22qPIgclxQhWpDzk5OTw1nvvcW63bvm29+/ZM/L1kiVLqFatGueddx77\n9u2LPLp3786aNWvIycmhdevW1K1bl6FDhzJv3rxCHzezs7PZs2cPF1988QHjadasGSeeeGJUsZ93\n3nn5Y+7fn08//ZRPPvkkqu/P9cYbb9CrV698t4B26NCBFi1a8Oqrr+Y7tlevXvmet23bNubX6969\ne+TratWq0bJlS9q1a5fv9Y888sjIrakAL7/8Mj179iQtLS3y869Xrx7t2rXL16Fk0aJFnHbaadSv\nX58aNWqQmZkJwPr16/PF0LVrV2rU+PFyU9u2bdm2bVuhEXs8KMFKlbF950727dtH4/T0fNvzPt+x\nYwc5OTnUr1+flJSUyGP48OHs27ePLVu20LBhQ1566SX27t3LoEGDaNSoEWeddRYbNmwA4PPPPwfg\nsBIWj2nSpEnUsTdu3LjI51tiXORmy5YtRb5ukyZN2LlzZ75tDRo0yPe8Zs2ahWqlJSnqHCWdd8eO\nHcyaNSvfzz8lJYWlS5fy8cfBbM5Vq1bRr18/MjMzefLJJ8nOzmbFihUAhWIs6vXcvVwSbLLMIhCJ\nu0bp6dSoUYNtBRJJ3ufp4TGvvfYa1aoVHn/kJraOHTuyePFi9uzZw8svv8zo0aMZOnQoK1as4NBD\nDwWCZJaRkVFsPLHcLVTwvvjc5yUl8YIOO+ywIu+x37p1K+3atYvpXPGSnp5Ov379iqwj16tXD4C5\nc+fSqFEjZs2aFfk5fvRRVG2yypUSrFQZ1atX58Sjj2beK69wxQUXRLY/9/e/R77OvUjy1Vdf0TNP\n6aA4derU4ZxzzuHtt9/m97//PRAk3zp16jBjxozIVfODNXfuXK688sofY37uOQ477LDIx+JoR5en\nnHIKU6dO5euvv44kq1WrVrFx40Y6depUJrEerO7duzN79myOOeaYYte/2LNnDykpKfn+k5o5c2Z5\nhRg1JVipUsaPHEn/a6/lyttu47zu3Vm+ejWLX3stsv/oo4/miiuuYPDgwYwdO5asrCy+++471q5d\ny/r163nsscdYuHAhTzzxBL/4xS9o3rw5mzdv5pFHHqFbWNtt0KABEyZM4KabbuKHH36gb9++fP/9\n9yxcuJBbb72VZs2KvEnxgNauXcvll1/OgAED+Mc//sHjjz/OfffdFxll//SnP2Xr1q1Mnz6dY489\nloyMDIpqWT969GimTp1K7969+e1vf8vu3bsj050GDBhQuh9qGRs9ejRPPfUU3bp145prrqFZs2Zs\n3bqV5cuX06lTJ4YMGULPnj2ZMmUK1113Heeccw6vv/46Tz31VKJDL0QJVqqU83r04IHx47nz8ceZ\nMW8eXdq35/HbbqP3yJGRYx588EHatGnDo48+yi233EJaWhpt27blkksuAYKLMmbG+PHj2bZtG40a\nNeLss8/mjjvuiJxj3LhxpKenc9999/HII4/QsGFDzjjjjMioMVZ33303CxYsYMCAAdSuXZsJEyZw\n9dVXR/YPGjSIpUuXMnbsWLZv385FF11U5B1cjRo1YunSpVx//fUMGTKEmjVr0rdvXyZPnkzNmjVL\nFVtZy8jIYMWKFdx0002MGjWKL7/8ksMOO4xOnTpx/PHHA9C3b1/uuusuHnjgAR599FE6duzIggUL\naNOmTYKjz8+8Ek8pzcrK8tWV7I6fRHn33Xf5WTIvSP3OOyUfU5K2bQ/+HGVs48aNtGzZkhdeeIGz\nzz470eFUKQf6N29mb7p7ibcxahaBiEicqEQgIjHbt29fsfvMjOrVq5djNMlLCVYkibVo0YJkLOOl\npKQUu69z585JsfRjMlCCFZGYrVq1qth9pb2QVxkpwYpIzMpsEe+DvTiZhBcm89JFLhGROEmaBFtS\nV9nwmEFm9o6ZrTWzp8s7RhGRWCRFiSCarrJmdhQwDjjd3b8ws8ZFn01EJDkkywg2mq6ylwEPuvsX\nAO5eeMUKEZEkkiwJNpqusm2ANmb2mpmtMLM+5RadiEgpJEWJgOi6ytYAjgK6EDRF/KeZHevu+VY7\nNrORwEiA5s2bxx5JWVwd1e25IkLyjGCj6Sr7CTDP3fe6+3+BdQQJNx93n+buWe6eVZbdOUVKsmzZ\nMsyMt99+O7Jty5Yt9O3bl/r162NmLFu2rMhGhKV1/vnn06VLlzI5l5S9ZBnBRrrKApsJusoOLXDM\n8wRND6ebWQZByWBDuUYphWRNS0zb7tUjk+9Twsknn0x2dna+Vtm/+93v+Pe//80zzzxDeno6bdu2\n5fDDD8/XvE8qr6RIsO6+z8xyu8pWB57wsKssQXOx+eG+Xmb2DpAD3ODunycuapGAu/P999+TlpbG\nqaeemm/fe++9xymnnELfvn0j2/L2o5LKLVlKBLj7i+7ext1bu/vvwm23hMmVsJnjaHdv6+7Huftf\nEhuxVDR/mjuXWieeyJe7duXbvvaDD7BjjmHJkiUAzJs3j6ysLGrXrk3Tpk0ZO3Yse/fujRw/ceJE\nMjIyePXVV2nfvj21a9fm2WefLVQiMDOWLFnC3LlzMbPIAthFlQg2bdrE4MGDSU9PJzU1ld69e7Nu\n3bp8x3z88cf07duXOnXq0KJFCx577LGYfwZmxuTJk7n++us59NBDycjIiHRdmDFjBq1ataJBgwaM\nGDGiUIeEaGLMXby7bt26ZGZmcuGFF/LZZ5/lO6ZFixaMGTOGyZMnk9mtGw07dmTwmDGF3pfKIGkS\nrEi89e/RA4C5YSLNNWvRIhofeihdunRh9uzZ9O/fnw4dOjB//nxuvfVWpk2bxrhx4/J9z7fffstF\nF13EpZdeyuLFi+nQoUOh18vOzuakk06ia9euZGdnM3fu3CLj2rlzJ506dWLdunU8/PDDzJ49m2++\n+YYePXpESgnuzrnnnsvbb7/N448/zr333st9991HdnZ2zD+He+65h927d/PMM88wdOhQbrjhBsaO\nHcv06dO5//77ueOOO5g5cyZTpkyJKUYIeoWNHz+ehQsXMmXKFDZs2BBpw5PX7NmzWbJkCdMmTuSu\nUaNYsGwZ4/O8XmWRFCUCkfJQv149+nTqxKxFi7g4TxvsWYsXM7BXL6pVq8YNN9zAr371Kx566KHI\n/lq1anHVVVcxbty4SEPDPXv2cO+993LuuT9O1y7Y4fXUU08lLS2N9PT0QqWDvCZPnsw333zDmjVr\nSA873J5++um0aNGCJ554gquuuopFixbx1ltvsWLFCk455RQA2rVrR+vWrTnqqELXeg/oqKOO4pFH\nHgGgR48ePPvsszz66KN89NFHkfLFsmXLmDt3LjfeeGPUMQI88cQTkdfJycmhY8eOZGZm8tprr3HG\nGWdE9qWkpPD8889TI2yx/c6HH/KXRYt46JZbYvq7JDuNYKVKuaBPH5asXMmOL74AYM2777J+40Yu\nOPNM1q9fz6ZNmxg0aBD79u2LPLp168Z3332Xb3aAmXHmmWeWSUwvv/wyPXv2JC0tLfKa9erVo127\nduR25HjjjTdo0qRJJLkCHHHEEaXqBNu9e/fI19WqVaNly5a0a9cuX234yCOPZPPmzTHFCLBo0SJO\nO+006tevT40aNSJNGdeHiTRX165dqVHjx/Fd29at2bZzZ7m00i5PSrBSpfTr2pWUGjUinWRnLV5M\nsyZN6HTyyezYsQMI+j2lpKREHi1btgSCGmiuhg0bllkPqx07djBr1qx8r5mSksLSpUsjr/nZZ59F\nWobnVdS2kjRo0CDf85o1axa5LW8NNpoYV61aRb9+/cjMzOTJJ58kOzubFStWABSq5xZ6vZQU3J0f\n8tS6KwOVCKRKqXvIIZx1xhnMWryYkYMGMftvf2NQ796YWeSj77Rp0zjppJMKfW9uogXytYs+WOnp\n6fTr148JEyYU2pe7tmrTpk3Ztq3w3eHbtm0rtrV1WYomxrlz59KoUSNmzZoV+fl89NFHcY8tmSnB\nSpUz+MwzuWDMGF5YupQNH3/M4PCj/tFHH02zZs3YuHEjl112WbnF0717d2bPns0xxxxTbLJs3749\nkyZNYuXKlZEywaZNm/jXv/7F6aefnhQx7tmzh5SUlHz/+cycOTPusSUzJVipcs7q3JnU2rW5fNIk\nWmZm0iFsBV2tWjXuuecehg0bxq5duzjzzDOpWbMmGzZs4Pnnn2fOnDmkpqaWeTyjR4/mqaeeolu3\nblxzzTU0a9aMrVu3snz5cjp16sSQIUPo27cvJ5xwAgMHDuSuu+6idu3a3HLLLaUqEcQrxp49ezJl\nyhSuu+46zjnnHF5//XWeeuqpcokvWakGK1VO7Vq16Ne1K1u2b+eCPvnXDLrggguYN28ea9asYeDA\ngfTv35+HHnqIk08+ucxqrgVlZGSwYsUKfvrTnzJq1Ch69erF2LFj+eqrrzg+TP5mxvz582nbti0j\nRozguuuu4+qrr6Zjx45xiak0Mfbt25e77rqLv/71r/Tr14/ly5ezYMGCcokvWVkyNlQrK1lZWb46\n1oVXtNhLkQ7UIz4pHGzrEUj69iOVUhK3jDnQv3kze9PdS0wWGsGKiMSJarAilcS+ffuK3WdmVK9e\nvRyjEYhxBGtmA8zskjzPW5rZ62b2pZn91cwaHOj7RSR+Cs5RzfvIe3OBlJ9YR7A3A3/O8/wBIAO4\nE7gc+B1wVWkCCTsU3EewmtZj7n5ngf3Dgf8lWM4Q4I/uHvtqFyKV1KpVq4rdlztXVcpXrAm2FfAf\nADOrD/QCznP3hWa2iSDRxpxgo2l6GJrl7lfHen6RqqCsFvGWslOai1y50w46E6zL+nL4/BOgtC0E\noml6KCJSocSaYP8NXGhmhwCXAkvd/ftwX3OgtJ1eo2l6CDDAzP7PzOaY2eFF7Jc4qsxT+kTyKqt/\n67Em2PHAecAughHspDz7fgGsLGUc0TQ9fAFo4e7HE4yaZxR5IrORZrbazFZv3769lOFIQSkpKWpz\nIlVG7m2/ByumBOvurxKMVDsAR7h73oT6BMFFsNIosemhu3+eZ7T8KFDkOm1qehgfjRs3ZvPmzXz7\n7bcayUql5e58++23bN68uUxuQ476IpeZ1Qb+D/iNuy8uIrAXDyKOEpsemtlh7p67onE/4N2DeD2J\nUe5aoZ9++mm+9ilJo0BbklIpwxWyJEoH+77F4T1LSUmhSZMmZdI7LeoE6+7fhfNc9x/0qxY+dzRN\nD39jZv2AfcBOYHhZxyEHlpaWlrwN+4YNO/hzVMJbnJPewb5vSf6exTpNayZwMfBSWQcSjoBfLLDt\nljxfjwPGFfw+EZFkFWuC3QQMMrPVBMlwK/kvRrm7Ty2r4EREKrJYE+w94Z+HAScXsd8BJVgREWJM\nsO6u1bdERKKkhCkiEicxJ1gza2xmd5nZEjNbb2bHhNuvNbPyWV5dRKQCiHW5wg7A+8AAYCPQGqgV\n7j4MuL4sgxMRqchiHcFOBpYCbQiWJ8w7y/cNgju8RESE2GcRnAyc6+77rXBj+M+B8mlxKSJSAcQ6\ngv2K4pckbEUwL1ZERIg9wc4DJplZqzzb3MwygDHAc2UWmYhIBRdrgr2RYKnCd4B/hNseBtYBe4Bb\nivk+EZEqJ9YbDb4ws1OBYUB34BuChVceA/6cZzlBEZEqL+a23WFLl8fDR5kpqelhnuPOB54F2rt7\nci+lIyJVWswJFsDMjgbaE8x9/RR4093fK20Q0TY9NLN6wG8ofecEEZFyE1OCNbM0gm4CAwjqt7uB\nusB+M3sOuNTdd5UijkjTw/B1cpseFuwq+z/A3QQX1EREklqsF7keImjV/Ssg1d3TgFTgIoLR50Ol\njKPEpodmdhJwuLsvKOVriIiUq1hLBOcCo9z96dwN7v4dMNPMUoF7SxnHAZsemlk1grvIhpd4IrOR\nwEiA5s2blzIcEZGDF+sIdjewpZh9nxLMKiiNkpoe1gOOBZaZ2UbgVGC+mWUVPJGaHopIsog1wT4I\njDGzOnk3hqPXMZS+RBBpemhmNQmaHs7P3enuX7l7hru3cPcWwAqgn2YRiEgyK7FEYGZ3F9h0FPCx\nmf0d2Eaw/kBPghsNSpXwomx6KCJSoURTgx1Y4Pne8HFqnm1fh38OAG4oTSAlNT0ssL1LaV5DRKQ8\nlZhg3b1leQQiIlLZqGWMiEicxHwnl5nVBjoTzFOtXXC/u5f2QpeISKUS651cXYHZwKHFHOKUfiaB\niEilUpppWmuAY4Ba7l6twKN62YcoIlIxxVoiOBz4jbu/G49gREQqk1hHsC8Dx8cjEBGRyibWEexI\n4JnwTq6lwJcFDyi4xKCISFUVa4JNBWoRLBvoBfZZuE11WBERYk+wTxHUYa8CPgB+KPOIREQqiVgT\nbDtgsNYGEBEpWawXudYCh8QjEBGRyibWBHsVMNbMOpV1IGbWx8zWmdkHZnZjEfuvMLP/mNkaM3vV\nzNqWdQwiImUp1hLBQoILXcvN7Ad+XEUrwt0bxxpElE0Pn3b3h8Pj+xF0T+gT62uJiJSXWBPsgxSe\nPVAWSmx6WKCZ4iFxikNEpMzElGDdfWKc4iiq6eEpBQ8ys6uA0UBNoFucYhERKRPJslzhAZseRja4\nP+jurYHfAjcXeSKzkWa22sxWb9++vYzDFBGJXqyraa2ihI/m7t6hFHGU1PSwoL8AU4t5/WnANICs\nrCyVEUQkYWKtwa6lcIJNBzoS9ORaUso4Ik0Pgc0ETQ+H5j3AzI5y9/fDp2cB7yMiksRircEOL2q7\nmdUl6AL7emmCiLLp4dVm1oOgH9gXwEWleS0RkfISc0eDorj7bjO7B/gj8Fgpz3HApofufu1BBSki\nUs7K8iJXA6BhGZ5PRKRCi/UiV98iNtcEfgaMIljCUEREiL1EsIDgIlfBaVV7gXnA1WURlIhIZRBr\ngm1ZxLbvgG3urilRIiJ5xDqL4CMAM2tDMFc10rbbzHKPebHIbxYRqWJircG2BWYBbSn+7it1NBAR\nIfYSwSMEF7X6EyzEoo4GIiLFiDXBnkTQ0WBBPIIREalMYp0H+yF56q4iIlK8WBPs9cB4M2sVj2BE\nRCqTWEsEvydYu/U9M9sIfFnwgFKupiUiUunEmmDfDh8iIlKCWOfBXhyvQMysD3AfwTSvx9z9zgL7\nRwOXAvuA7cCI3Hm5IiLJKCk6GuRpengmwRzbIUV0jX0LyHL344E5wN3lG6WISGySIsGSp+mhu/9A\n0LHg3LwHuPtSd/82fLqC4E4yEZGklSwJtqimh80OcPwlwKK4RiQicpDKZMHtMhBV00MAM/slkAV0\nLmb/SGAkQPPmzcsqPhGRmCXLCDaqpodhy5ibgH7u/n1RJ3L3ae6e5e5ZjRo1ikuwIiLRSJYEG2l6\naGY1CZoezs97gJmdRLAWQj9335aAGEVEYpIUCdbd9xEs1v034F1gdm7TQzPrFx72v0Bd4FkzW2Nm\n84s5nYhIUkiWGmw0TQ97lHtQIiIHISlGsCIilZESrIhInCjBiojEiRKsiEicKMGKiMSJEqyISJwo\nwYqIxIkSrIhInCjBiojEiRKsiEicKMGKiMSJEqyISJwowYqIxEnSJFgz62Nm68zsAzO7sYj9Z5jZ\nv8xsn5mdn4gYRURikRQJNsquspuA4cDT5RudiEjpJMt6sJGusgBmlttV9p3cA9x9Y7hvfyICFBGJ\nVVKMYIm9q6yISNJLlgQbdVfZEk9kNtLMVpvZ6u3btx9kWCIipZcsCTaqrrLRUFdZEUkWyVKDjXSV\nBTYTdJUdmtiQRCTZZU3LOuhzrB65ugwiKVpSjGCj6SprZu3N7BNgIPCIma1NXMQiIiVLlhFsNF1l\nVxGUDkREKoSkGMGKiFRGSrAiInGiBCsiEidJU4OtTJL9yqaIlA+NYEVE4kQJVkQkTpRgRUTiRAlW\nRCROdJFLJHSwFyd1YVIK0ghWRCROlGBFROJECVZEJE6SJsFG0fSwlpnNCvevNLMW5R+liEj0kiLB\nRtn08BLgC3c/EpgM3FW+UYqIxCYpEix5mh66+w9AbtPDvM4FZoRfzwG6m1lRrWZERJJCsiTYaJoe\nRo4JF+j+Cji0XKITESmFZJkHG03Tw6gaI5rZSGBk+HS3ma07yNgOJAPYUWjr5Qd/Yrtcg/M4isv7\npvcs7gq/b4n7XTsimoOSJcFG0/Qw95hPzKwGUB/YWfBE7j4NmBanOPMxs9XufvBLZ0m50vtWMVXE\n9y1ZSgSRpodmVpOg6eH8AsfMBy4Kvz4feMXdS9XaW0SkPCTFCNbd95lZbtPD6sATuU0PgdXuPh94\nHHjSzD4gGLkOTlzEIiIlMw0CS8/MRoYlCalA9L5VTBXxfVOCFRGJk2SpwYqIVDpKsCIicaIEGwe5\nd5jpTrOKJ897Vz3RsUjxzOyQRMcQDSXYMmZmlmf6WINw2plUEO7uZtYe+CXoP8lkkfd9MLOLgQvC\n+fBJTQm2jOUmVzP7NcHaCXeb2djERiUxagDcbGZHaq51csjze3UacAowP7xlPqkpwcaBmQ0DBgLX\nAE2BYxMbkRxI3pJO+Ank78CfgXbhdpULEszMqplZa+BFgv8Av9AItooo4hfQCJJrH6AhMCI8ruAS\njJJAue9bWBboBNwJDDWz2sA7hGUCd89JXJQC4O773f1Dgrs52wO9NIKtAswsg+ANx8xGmNlRQE3g\nn0B/d+8d3ql2GTDYzGolMFwXOdVaAAAH/UlEQVQJhbXxs8ysuZn9jOBj507gZOAlgkVF2prZoASG\nKYCZDTCz68zsBHefB1wPPGhmfRIdW0mSfohdAVQHrjGzccBRwIvu/piZnQgcbmZNgX7A1cAQd/8+\ngbHKj6oBPwAvECx72cHdPwUws18BJxD8R9kFmJ2gGKs8M7uGH9cmedrM7nP3aWaWA/zFzM5395cT\nG2XxNIItpdy6nbtvBRYBpwPPuftnYW3oVuAjYCrQlyC5rk1UvJKfu38HbAKaELxP9fPs+7O7309Q\n4ullZp0TE2XVZmbHAT2BrsA3QA7Q1cyudPcXgCHAxsRFWDLdKlsKeadihfW6JkAaQQ1vOTDV3b/O\nPc7MaoadGiRJhElzHbCH4BPGYOBud19uZocD37j7TjO7F1jp7rMSGG6VEJZt6rv7djPr4e4vh58A\nTwTGuHsPMxsNjAImuPv0RMYbDZUISiFPcr0KOA34HHgOuBZ4GPjGzA4FuphZX0BlgeTTheCK9PHu\n/qSZNQDGm1kWwYjpurBe3hp4NHFhVintgNvN7A2gt5n1DD8R/gTYGh6zkeD6xqIExRgTjWBLycwu\nAS4ErgT+AGx39xFmdjzBrIGfAHe4+5oEhikFmFmau+8Kvx4HXAec5u4fmtlQYDhwn7svNLNqQKq7\n705cxJVfgU+EDwGXAue4+9/CbYcDcwmSbCYw0N3XJyreWCjBRim80twIeD2cFfBrggskZwO/CP8E\nqOvuX5hZLV3QSi7he3gRMNfdV4bbxhN85Dzd3debWR1332Nm1TU9q3yZ2ZUE5bbaBNctLnb3N8N9\nmUBH4C13/yBxUcZGJYIohBe0hgGNCfqA/RM4BFgNvOHuvcPjLgfqm9m9Sq5JKbdR5rnhVeg33f0O\nMzsPWB5OZP8eNPe1vIW/O8MJpjZuNrNdwKNm9gugF/ATd78tkTGWhhJsFMILVROBmwnmsn4PPAIc\nD+wPP0qOILi5YGBFmABdFeS5yHgiwRXoj4HRwO3AAKCWme0jmPf6grt/m7hoqy4zqwOcCdwC7A2T\nbU0gHbifYFR7ZeIiLD2VCIoRjlqr5R3JhFc5byIYyT5D0IhxIsEMglRglKZiJRczOweYBCwleN+m\nAmuAcUAL4OfAFe6+OFExSqQb9BUE/wmuJ5g61wR4iuD6RqEGpxWBEmwxzOwQd/8m/Lo/sB94A/gM\nmEBQj/2zu78RHlPH3fckKl4pzMyOJfik0Z9gzuQlBLfAPuLur4RT7DIrUk2vsgrfi+OAD8Ppcb8k\neL/6VuTfKyXYIphZS2AOwYWrdgSzBN4jaCX+PPB3YDzQFviju2cnKFQ5gHDth9yPmvcQlHF+BXQA\nHnD3vyQwPClCWG67mGB2xxB3fzvBIR0U1WALCOt2/zWzRcA84EPgJIKLW5cQTEp34PcE90T/N1Gx\nSn55aq6tgO3Ax+ENH6MJpsy9ZWYdCa5Sv5vQYKU4tQk+LQ5y9wr/HmkEm4eZ1XP3r8OvmxIU3h8C\nznD3VWbWBDifYHGXP7v7K4mLVopiZmcC/wMsIJjWM5jgP8ZRwBiCGvoludO0JPnknRdb0WkEGwrX\nD/i1mW0juO+5D3A5wQIuU81saDhP8jmCRULeSVy0UpSwJPA7gv8E+xNcfPzB3f9gZk5QGhin5Jrc\nKktyBY1ggXwfLTOAzQTL1jV3970WrBk6lqA0cIm7v6NJ6Mkj73sRzmPtTVC2mURQw/swLAushGBd\n0co0QpLkVuVX0yrwy+bAY+GfV0Aw4dzdfw8sBB4Kp2rtT0iwEmFm9SB4f8ysU7jEYBZBYr0X6BYm\n1zMILkg2dff94fcouUq5qNIlggL3QF8NHE6whF1PYGk49epuCxb2fZZgxoBWxUowM0sFFprZfcB/\nCOrk/yaYQreJYObAADPbQzDfdWLuWq8i5UklAiINCoeEj/8QzJ1cCfyJYKHf9sBZ7r4hYUFKPuHt\nrTcCXwM3u/uKsERwNsHFrdrAB8ASd1+ksoAkQpUewUKwuhJBm5BBBI0K3wCaE9yzPpTgbp+JSq7J\nxd3nmtlugvnKPYAVBKPX/xLcPHBD7rFKrpIoVT7BuvuucF3XnwLnuXvXcLLzTmADMDlc/V6SjLv/\n3cyGA/9rZh+6+zNm9iXQOZxSt81DiY1Uqqoqn2AB3P17M/sWqGFBm4rDCeZRzlRyTW7hSHYfMMPM\nBgJfArd50MpHJKFUgw2Fq9dfR/BxswnBnSTvJTYqiVa4XsREgql0q1QWkGSgBJuHmaUATYH97r45\n0fFIbMwsvaKuuiSVkxKsiEicVPkbDURE4kUJVkQkTpRgRUTiRAlWRCROlGBFROJECVZEJE6UYEVE\n4kQJVkQkTpRgRUTiRAlWRCROlGBFROJECVaqFDObaGY7wq9bmJnneXxjZh+a2Uwz+3miY5WKTwlW\nBMYQtJnpC/wPQTeLf5jZrQmNSio8LbgtAuvcfUX49XJgupndBkw0s+XuvixxoUlFphGsSNEmAZ8S\ntm8XKQ0lWJEiuHsO8ApwaqJjkYpLCVakeJ8QtA8SKRUlWJHiWaIDkIpNCVakeM0AdaeVUlOCFSmC\nmdUAugHZiY5FKi4lWJGi3QL8BHg40YFIxaV5sCJwdHh3V02gJTAY6ANMdPflCY1MKjQlWBH4Q/jn\nd8AWgrLAGe7+z8SFJJWBuXuiYxARqZRUgxURiRMlWBGROFGCFRGJEyVYEZE4UYIVEYkTJVgRkThR\nghURiRMlWBGROFGCFRGJk/8HaQz6RIX2f+0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2362db15ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fans的description和verified\n",
    "description_mean = df['description'].groupby(df[\"type\"]).mean()\n",
    "verified_mean = df['verified'].groupby(df[\"type\"]).mean()\n",
    "\n",
    "fig = plt.figure(figsize=(5,3))\n",
    "# 平均数\n",
    "xloc = np.linspace(1,14,3)\n",
    "ax1 = fig.add_subplot(111) \n",
    "rects01 = ax1.bar(xloc, description_mean.values, width = 1, color='red',linewidth=0.5,alpha=0.8)\n",
    "rects02 = ax1.bar(xloc+1,verified_mean.values ,width = 1, color='green',linewidth=0.5,alpha=0.8)\n",
    "plt.xlabel(u'ID', fontsize=15, labelpad=10)\n",
    "plt.ylabel(u'numbers', fontsize=15, labelpad=10)\n",
    "plt.legend((rects01,rects02),( u'description_mean',u'verified_mean'), fontsize=15) \n",
    "plt.xticks(xloc+0.15,description_mean.index, fontsize=10 ,rotation =45)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAggAAAGRCAYAAAAAfUt1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCJIkqcCAIEmSCgwIkiSpwIAgSZIK/j8JKTyITGZhLgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a2529b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 每个type的label\n",
    "label1 = df[df['label']==1].groupby(df[\"type\"]).size()\n",
    "label0 = df[df['label']==0].groupby(df[\"type\"]).size()\n",
    "\n",
    "plt.figure(dpi=100)\n",
    "plt.xticks(fontsize=10,rotation=90)\n",
    "plt.title(\"label\")\n",
    "plt.bar(pro0.index, pro0.values,label = \"label0\")\n",
    "plt.bar(pro1.index, pro1.values,bottom=pro0, label='label1')\n",
    "plt.legend(title='click',loc='upper right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['athlete', 'beauty', 'star']\n"
     ]
    }
   ],
   "source": [
    "star_list = list(df.groupby(df['type']).size().index)\n",
    "# star_list = [int(i) for i in star_list]\n",
    "print(star_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnkAAADgCAYAAAB//3ADAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a0da7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnkAAADgCAYAAAB//3ADAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x236371ff908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnMAAADgCAYAAABo3eDKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npmROREREJIP9f9ejl4VSubcmAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23639fee828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in star_list:\n",
    "    df_star = df[df['type']==i]\n",
    "    df_followers_mean = df_star['followers_count'].groupby(df['label']).mean()\n",
    "    df_followers_median = df_star['followers_count'].groupby(df['label']).median()\n",
    "    \n",
    "    fig = plt.figure(figsize=(10,3))\n",
    "    plt.title(i)\n",
    "    ax1 = fig.add_subplot(121)\n",
    "    ax1.bar(['0','1'],df_followers_mean.values)\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"followers_mean\")\n",
    "    ax2 = fig.add_subplot(122)\n",
    "    ax2.bar(['0','1'],df_followers_median.values,color='red')\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"followers_median\")    \n",
    "    plt.show()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAm0AAADgCAYAAABRulGRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23639f017f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAm0AAADgCAYAAABRulGRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wPxHCNjPB38IQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363721e7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAm0AAADgCAYAAABRulGRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4KTNzMzMrAQ4aTMzMzMrAf8fZEQg6SrUlpwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a97a080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in star_list:\n",
    "    df_star = df[df['type']==i]\n",
    "    df_mean = df_star['follow_count'].groupby(df['label']).mean()\n",
    "    df_median = df_star['follow_count'].groupby(df['label']).median()\n",
    "    \n",
    "    fig = plt.figure(figsize=(10,3))\n",
    "    plt.title(i)\n",
    "    ax1 = fig.add_subplot(121)\n",
    "    ax1.bar(['0','1'],df_mean.values)\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"follow_mean\")\n",
    "    ax2 = fig.add_subplot(122)\n",
    "    ax2.bar(['0','1'],df_median.values,color='red')\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"follow_median\")    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnIAAADgCAYAAACHH4v0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niZyIiIhIglIiJyIiIpKg/n+aseE6I8ppzQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363712b0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnIAAADgCAYAAACHH4v0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nImdmZmaWp/4fPSEVTVLB6GEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a15e390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnIAAADgCAYAAACHH4v0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a124828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in star_list:\n",
    "    df_star = df[df['type']==i]\n",
    "    df_mean = df_star['statuses_count'].groupby(df['label']).mean()\n",
    "    df_median = df_star['statuses_count'].groupby(df['label']).median()\n",
    "    \n",
    "    fig = plt.figure(figsize=(10,3))\n",
    "    plt.title(i)\n",
    "    ax1 = fig.add_subplot(121)\n",
    "    ax1.bar(['0','1'],df_mean.values)\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"statuses_count\")\n",
    "    ax2 = fig.add_subplot(122)\n",
    "    ax2.bar(['0','1'],df_median.values,color='red')\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"statuses_count\")    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmYAAADgCAYAAACpWqpmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAH4xJREFUeJzt3XuYVeV96PHvTy7xGutlsMiASEQF\nQRGnKmlqMAariUcb9TRytMWITk1imkTNKX2aR2MaK7HxWGNN0/FAtdFirG0jRYIaL/VUY+L2jiiP\nBmkcMEK8G2IQ/J0/9oYOsIE9w57Zazbfz/Psh7Xe9e53/dZazvK31+V9IzORJElS4+3Q6AAkSZJU\nZmImSZJUECZmkiRJBWFiJkmSVBAmZpIkSQVhYiZJklQQJmaSmlJE3BAR39jC8oyIA/oyJknaGhMz\nSf1eRJwdEf/ZS21PjojO3mhbkjZmYiZJklQQJmaS+o2ImBERP4uItyNiUUR8KiLGAN8FJkXEOxHx\nRpev7BERd1Tq/yQiPrSZdj8QEd+KiJ9HxCsR8d2I2CkidgF+COxbafudiNg3InboEsurEXFrROzZ\nB7tAUpMzMZPUn/wM+D1gd+Ay4CbgDeB84MeZuWtm/laX+lMr9fYAXgAu30y73wQOBCYABwDDgEsy\n81fAicDyStu7ZuZy4E+BPwA+CuwLvA5cV88NlbR9MjGT1G9k5j9n5vLMfD8zvw88Dxy5ha/8a2b+\nNDPXADdTTrw2EBEBnAd8OTNfy8y3gb8CzthCu38C/EVmdmbmb4CvAadHxMCebZkklXkSkdRvRMQf\nAxcCIytFuwJ7A2s385VfdJleVam/sRZgZ+DRco5WXhUwYAuh7Af8W0S836VsLbAPsGwL35OkLTIx\nk9QvRMR+wPXAcZRvW66NiCcoJ1G5DU3/Evg1cEhmVkuqqrX9EnBOZj64DeuVpE14K1NSf7EL5SRp\nJUBEfAYYV1n2CtAaEYO722hmvk854bs6IoZU2h4WEb/fpe29ImL3Ll/7LnB5JVkkIloi4pQebJMk\nbcDETFK/kJmLgKuAH1NOlsYD665Y3Qs8A/wiIn7Zg+b/jPLLAQ9HxFvAj4CDKut9DpgDLImINyJi\nX+AaYC5wV0S8DTwMHNXTbZOkdSJzW+4ASJIkqV68YiZJklQQdU3MImJ2RKyIiIWbWR4R8e2IeCEi\nnoqIifVcvyRJUn9W7ytmNwAnAETE8Ii4LyKejYhnIuKLlDtqHAu8SLnDx/siYo86xyBJktQv1TUx\ny8wHgNcqs2uAizJzDHA08HlgGuXX0u/JzOHAauAv6xmDJElSf9Vrz5hl5suZ+Vhl+m3gWcqdMh4G\n3Fip9hxwUm/FIEmS1J/0SQezETESOJxycnZIZr5cWbQaqDrwb0S0A+0Ae+211xEjR47s9TglFccT\nTzzBhAmbjKDU7yxduhTPX9L25dFHH83M7NHFr15PzCJiV+BfgC8Bvw98pMviVuD9at/rapdddqFU\nKvVOgJIKqa2trSn+7ptlOyTVLiJ+3dPv9mp3GRExiHJSdnNm/ivlDhkzIoZGxNGUx657pdp3M7Mj\nM9sys62lpaU3w5QkSSqEul4xi4g5wGRg74joBH5O+WH/VZUq84HngYXAcuD+ynJJkqTtXr3fypya\nmUMzcxBwBjAJaAHOrww2fCLwceAJYEfKXWfMrGcMklQP55xzDkOGDGHcuHGbLPvWt75FRPDLX/Zk\n9CdJ2rzefCvzPzMzMvPQzJxQ+czPzFcz87jMHF3597WttyZJfevss89mwYIFm5S/9NJL3H333YwY\nMaIBUUlqdg7JJElVHHPMMey556YvjX/5y1/myiuvJCIaEJWkZtcn3WVIfWnkjDsaHYKqWDrzk40O\nYZvNnTuXYcOGcdhhh22xXkdHBx0dHQCsXLmyL0JTszDhL6bMPluViZkk1WDVqlVcfvnl3HXXXVut\n297eTnt7O1DuLkOSauWtTEmqwc9+9jNefPFFDjvsMEaOHElnZycTJ07kF7/4RaNDk9REvGImSTUY\nP348K1asWD8/cuRISqUSe++9dwOjktRsvGImSVVMnTqVSZMmsXjxYlpbW5k1a1ajQ5K0HfCKmSRV\nMWfOnC0uX7p0ad8EImm74hUzSZKkgjAxkyRJKggTM0mSpIIwMZMkSSoIEzNJkqSCMDGTJEkqCBMz\nSZKkgjAxkyRJKggTM0mSpIIwMZMkSSoIEzNJkqSCMDGTJEkqCBMzSZKkgjAxk6QqzjnnHIYMGcK4\ncePWl33lK1/h4IMP5tBDD+VTn/oUb7zxRgMjlNSMTMwkqYqzzz6bBQsWbFA2ZcoUFi5cyFNPPcWB\nBx7IFVdc0aDoJDUrEzNJquKYY45hzz333KDs+OOPZ+DAgQAcffTRdHZ2NiI0SU2s7olZRJwQEYsj\n4oWImFFl+YiIuC8iHo+IpyLiE/WOQZJ62+zZsznxxBMbHYakJlPXxCwiBgDXAScCY4GpETF2o2pf\nBW7NzMOBM4Dv1DMGSeptl19+OQMHDuTMM8+suryjo4O2tjba2tpYuXJlH0cnqT+r9xWzI4EXMnNJ\nZq4GbgFO2ahOAh+sTO8OLK9zDJLUa2688UbmzZvHzTffTERUrdPe3k6pVKJUKtHS0tLHEUrqz+qd\nmA0DXuoy31kp6+prwFkR0QnMB75QraGIaI+IUkSU6hyjJPXIggUL+OY3v8ncuXPZeeedGx2OpCZU\n78Ss2s/H3Gh+KnBDZrYCnwC+FxGbxJGZHZnZlpltdY5RkrZq6tSpTJo0icWLF9Pa2sqsWbO44IIL\nePvtt5kyZQoTJkzg/PPPb3SYkprMwDq31wkM7zLfyqa3KqcDJwBk5o8jYkdgb2BFnWORpB6bM2fO\nJmXTp09vQCSStif1vmL2CDA6IvaPiMGUH+6fu1GdnwPHAUTEGGBHwKdjJUnSdq+uiVlmrgEuAO4E\nnqX89uUzEfH1iDi5Uu0i4LyIeBKYA5ydmRvf7pQkSdru1PtWJpk5n/JD/V3LLukyvQj43XqvV5Ik\nqb/rtZ7/I2J2RKyIiIVdyr4WEcsi4onKx85lJUmSKnpzSKYbqDzkv5GrM3NC5TO/ynJJkqTtUq8l\nZpn5APBab7UvSZLUbBoxiPkFlTEyZ0fEHpur1LWDWYc0kSRJ24O+Tsz+DvgQMAF4GbhqcxW7djDr\nkCaSJGl70KeJWWa+kplrM/N94HrKY2tKkiSJXuguY0siYmhmvlyZ/RSwcEv1e2LkjDvq3aTqZOnM\nTzY6BEmSCq3XErOImANMBvauDFh+KTA5IiZQHj9zKfAnvbV+SZKk/qbXErPMnFqleFZvrU+SJKm/\na8RbmZIkSarCxEySqjjnnHMYMmQI48aNW1/22muvMWXKFEaPHs2UKVN4/fXXGxihpGZkYiZJVZx9\n9tksWLBgg7KZM2dy3HHH8fzzz3Pccccxc+bMBkUnqVmZmElSFccccwx77rnnBmW3334706ZNA2Da\ntGn84Ac/aERokpqYiZkk1eiVV15h6NChAAwdOpQVK1Y0OCJJzaZP+zGTpO1BR0cHHR0dADiknKTu\n8IqZJNVon3324eWXy31kv/zyywwZMqRqvfb2dkqlEqVSCYeUk9QdJmaSVKOTTz6ZG2+8EYAbb7yR\nU045pcERSWo2JmaSVMXUqVOZNGkSixcvprW1lVmzZjFjxgzuvvtuRo8ezd13382MGTMaHaakJuMz\nZpJUxZw5c6qW33PPPX0ciaTtiVfMJEmSCsLETJIkqSBMzCRJkgrCxEySJKkg6p6YRcQJEbE4Il6I\niKqvLEXEH0bEooh4JiL+qd4xSJIk9Ud1fSszIgYA1wFTgE7gkYiYm5mLutQZDfw58LuZ+XpEVO+h\nUZIkaTtT7+4yjgReyMwlABFxC3AKsKhLnfOA6zLzdYDMdLA5SVonotERqJrMRkeg7US9b2UOA17q\nMt9ZKevqQODAiHgwIh6OiBPqHIMkSVK/VO/ErNpPvY1/ZgwERgOTganA/42I39qkoYj2iChFRKnO\nMUqSJBVSvROzTmB4l/lWYHmVOrdn5nuZ+SKwmHKitoHM7MjMtsxsq3OMkiRJhVTvxOwRYHRE7B8R\ng4EzgLkb1fkBcCxAROxN+dbmkjrHIUmS1O/UNTHLzDXABcCdwLPArZn5TER8PSJOrlS7E3g1IhYB\n9wFfycxX6xmHJElSf1RTYhYRR1Qp+x/V6mbm/Mw8MDM/lJmXV8ouycy5lenMzAszc2xmjs/MW7Zl\nAyRpSx599NFNyv793/+9AZFI0tbVesXs+ogYv24mIqYCX+2dkCSpfs477zyefvrp9fNz5szhG9/4\nRgMjkqTNqzUxOx24MSLGRMR5wOeA43svLEmqj9tuu41p06bx7LPPcv311/Od73yHu+66a5vavPrq\nqznkkEMYN24cU6dO5d13361TtJK2dzUlZpUOY88A/oVyknZ8Zr7Zm4FJUj2MGjWKW265hdNOO43b\nbruNu+66i913373H7S1btoxvf/vblEolFi5cyNq1a7nlFp/IkFQfW+z5PyKeZsN+yPYEBgA/iQgy\n89DeDE6Semr8+PFEl170X3vtNdauXctRRx0FwFNPPdXjttesWcOvf/1rBg0axKpVq9h33323OV5J\ngq0PyXRSn0QhSXU2b968Xml32LBhXHzxxYwYMYKddtqJ448/nuOP3/DJjo6ODjo6OgBYuXJlr8Qh\nqTlt8VZmZv7Xug/ljmHfo3wFbd1Hkgppv/32W/9pbW1l0KBBRMT6T0+9/vrr3H777bz44ossX76c\nX/3qV9x0000b1Glvb6dUKlEqlWhpadnWTZG0HalpEPOI+AJwKfAK8H6lOAFvZUoqtGuvvZbLLruM\nffbZhx12KP8WjYge38r80Y9+xP77778+4Tr11FN56KGHOOuss+oWs6TtV02JGfBF4CA7gpXU31xz\nzTUsXryYvfbaqy7tjRgxgocffphVq1ax0047cc8999DW5shxkuqj1u4yXgK69RZmRMyOiBURsbBL\n2Z4RcXdEPF/5d4/utClJ3TV8+PBtegtzY0cddRSnn346EydOZPz48bz//vu0t7fXrX1J27dar5gt\nAe6PiDuA36wrzMz/s4Xv3AD8LfCPXcpmAPdk5syImFGZ/7NuRSxJ3TBq1CgmT57MJz/5ST7wgQ+s\nL7/wwgt73OZll13GZZddVo/wJGkDtSZmP698Blc+W5WZD0TEyI2KTwEmV6ZvBO7HxExSLxoxYgQj\nRoxg9erVrF69utHhSNIW1ZSYZWa9fhruk5kvV9p8OSKG1KldSarq0ksvbXQIklSzWt/KbAH+N3AI\nsOO68sz8WC/FRUS0A+1Q/sUrST2xcuVKrrzySp555pkNhk669957GxiVJFVX68P/NwPPAfsDlwFL\ngUd6sL5XImIoQOXfFZurmJkdmdmWmW32AySpp84880wOPvhgXnzxRS699FJGjhzJ7/zO7zQ6LEmq\nqtbEbK/MnAW8l5n/kZnnAEf3YH1zgWmV6WnA7T1oQ5Jq9uqrrzJ9+nQGDRrERz/6UWbPns3DDz/c\n6LAkqapaH/5/r/LvyxHxSWA50LqlL0TEHMoP+u8dEZ2UO6idCdwaEdMpv0zwP3sStCTVatCgQQAM\nHTqUO+64g3333ZfOzs4GRyVJ1dWamH0jInYHLgKuBT4IfHlLX8jMqZtZdFzt4UnStvnqV7/Km2++\nyVVXXcUXvvAF3nrrLa6++upGhyVJVW01MYuIAcDozJxHuZPZY3s9Kkmqg7Vr1/L8889z0kknsfvu\nu3Pfffc1OiRJ2qKtPmOWmWuBk/sgFkmqqwEDBjB37txGhyFJNav1VuZDEfG3wPeBX60rzMzHeiUq\nSaqTD3/4w1xwwQV8+tOfZpdddllfPnHixAZGJUnV1ZqYfbjy77qOZgNIoNf6MZOkenjooYeA/+5o\nNjOJCPsxk1RItSZm91cpyzrGIUm9YvLkyZuURUTfByJJNag1MXuny/SOwEnAs/UPR5Lqa9ddd10/\n/e677zJv3jzGjBnTwIgkafNqHSvzqq7zEfEtyp3FSlKhXXTRRRvMX3zxxZx88ra9z/TGG29w7rnn\nsnDhQiKC2bNnM2nSpG1qU5Kg9p7/N7YzMKragog4ISIWR8QLETFjcw1ExOkRkRHR1sMYJKnbVq1a\nxZIlS7apjS9+8YuccMIJPPfcczz55JNegZNUN7UOYv40//1M2QCgBfh6lXoDgOuAKUAn8EhEzM3M\nRRvV2w34U+AnPQ9dkrZu/Pjx658pW7t2LStXruSSSy7pcXtvvfUWDzzwADfccAMAgwcPZvDgwfUI\nVZJqfsbspC7Ta4BXMnNNlXpHAi9k5hKAiLgFOAVYtFG9vwSuBC7uXriS1D3z5s1bPz1w4ED22Wcf\nBg6s9dS3qSVLltDS0sJnPvMZnnzySY444giuueaaDbri6OjooKOjA4CVK1f2PHhJ252abmVm5n91\n+SzbTFIGMAx4qct8Z6VsvYg4HBheGUlAknrVfvvtt/4zbNiwbUrKANasWcNjjz3GZz/7WR5//HF2\n2WUXZs6cuUGd9vZ2SqUSpVKJlpaWbVqfpO1LT58x25xq76Cv71YjInYArqY85uaWG4poj4hSRJTq\nGJ8kbZPW1lZaW1s56qijADj99NN57DH72pZUH/VOzDqB4V3mW4HlXeZ3A8YB90fEUuBoYG61FwAy\nsyMz2zLTlwMkFcZv//ZvM3z4cBYvXgzAPffcw9ixYxsclaRmsW3X9Df1CDA6IvYHlgFnAP9r3cLM\nfBPYe918RNwPXJyZXhWT1G9ce+21nHnmmaxevZpRo0bxD//wD40OSVKTqGtilplrIuIC4E7Kb2/O\nzsxnIuLrQCkz7ftMUr83YcIESiV/T0qqv3pfMSMz5wPzNyqr+m56Zk6u9/olSZL6q3o/YyZJkqQe\nMjGTJEkqCBMzSZKkgjAxkyRJKggTM0mSpIIwMZMkSSoIEzNJkqSCMDGTJEkqCBMzSZKkgjAxkyRJ\nKggTM0mSpIIwMZMkSSoIEzNJ6oG1a9dy+OGHc9JJJzU6FElNxMRMknrgmmuuYcyYMY0OQ1KTMTGT\npG7q7Ozkjjvu4Nxzz210KJKajImZJHXTl770Ja688kp22KH6KbSjo4O2tjba2tpYuXJlH0cnqT9r\nSGIWEUsj4umIeCIiSo2IQZJ6Yt68eQwZMoQjjjhis3Xa29splUqUSiVaWlr6MDpJ/d3ABq772Mz8\nZQPXL0nd9uCDDzJ37lzmz5/Pu+++y1tvvcVZZ53FTTfd1OjQJDUBb2VKUjdcccUVdHZ2snTpUm65\n5RY+9rGPmZRJqptGJWYJ3BURj0ZEe7UKEdEeEaWIKPmMhiRJ2h406lbm72bm8ogYAtwdEc9l5gNd\nK2RmB9AB0NbWlo0IUpK2ZPLkyUyePLnRYUhqIg25YpaZyyv/rgD+DTiyEXFIkiQVSZ8nZhGxS0Ts\ntm4aOB5Y2NdxSJIkFU0jbmXuA/xbRKxb/z9l5oIGxCFJklQodb9iFhEnRMTiiHghImZUqfIHwCAg\ngF8Avs4kSZJEnROziBgAXAecCIwFpkbE2I2qPQ60ZeahwG3AlfWMQZIkqb+q9xWzI4EXMnNJZq4G\nbgFO6VohM+/LzFWV2YeB1jrHIEmS1C/VOzEbBrzUZb6zUrY504EfVlvQtR+zOsYnSZJUWPVOzKJK\nWdU+yCLiLKAN+OtqyzOzIzPbMrOtjvFJkiQVVr3fyuwEhneZbwWWb1wpIj4O/AXw0cz8TZ1jkCRJ\n6pfqfcXsEWB0ROwfEYOBM4C5XStExOHA3wMnVzqYlSRJEnVOzDJzDXABcCfwLHBrZj4TEV+PiJMr\n1f4a2BX454h4IiLmbqY5SZKk7UrdO5jNzPnA/I3KLuky/fF6r1OSJKkZNGSsTEmSJG3KxEySuuGl\nl17i2GOPZcyYMRxyyCFcc801jQ5JUhNpxFiZktRvDRw4kKuuuoqJEyfy9ttvc8QRRzBlyhTGjt14\nkBNJ6j6vmElSNwwdOpSJEycCsNtuuzFmzBiWLVvW4KgkNQsTM0nqoaVLl/L4449z1FFHNToUSU3C\nW5mS1APvvPMOp512Gn/zN3/DBz/4wQ2WdXR00NHRAcDKlSsbEZ6kfsorZpLUTe+99x6nnXYaZ555\nJqeeeuomy9vb2ymVSpRKJVpaWhoQoaT+ysRMkrohM5k+fTpjxozhwgsvbHQ4kpqMiZkkdcODDz7I\n9773Pe69914mTJjAhAkTmD9//ta/KEk18BkzSeqGj3zkI2Rmo8OQ1KS8YiZJklQQJmaSJEkFYWIm\nSZJUECZmkiRJBWFiJkmSVBAmZpIkSQVhYiZJklQQJmaSJEkFYWImSZJUECZmkiRJBWFiJkmSVBAm\nZpIkSQVhYiZJklQQdU/MIuKEiFgcES9ExIwqyz8QEf8REasj4t2I+Ga9Y5Ck3rRgwQIOOuggDjjg\nAGbOnNnocCQ1kbomZhExALgOOBEYC0yNiLEbVTsXmAAcDEwH/qRKHUkqpLVr1/L5z3+eH/7whyxa\ntIg5c+awaNGiRoclqUnU+4rZkcALmbkkM1cDtwCnbFTnj4BnM3MJ8H1gUJU6klRIP/3pTznggAMY\nNWoUgwcP5owzzuD2229vdFiSmkS9E7NhwEtd5jsrZV3tCywByMw1wDvAh+ochyT1imXLljF8+PD1\n862trSxbtqyBEUlqJgPr3F5UKcse1CEivgec2mV+1baF1m8NBNY0OohtNBBY49OEPdLo41+39ffg\n+A+OiCfrse462wP44KxZs/6rMr8nsMt1113X9Ufp3kBLZXrHiHi3LwPsomn++2m4qPa/rl7VDPuu\nGbahrPvHf6eerqreiVknMLzLfCuwfKM6y4BRABExENiVyhW0rjLzjyjf9iQiSpnZVudY+4Vm2PZm\n2IZGafS+a/T6iygiJgFfy8zfr8z/OUBmXtHQwKpo9PFr9Pr7s2bYd82wDT0VEaWefrfetzIfAUZH\nxP4RMRg4A5i7UZ2bgbERsT/waeC9KnUkqahqOc9JUo/U9YpZZq6JiAuAO4EBwOzMfCYivg6UMnMu\ncD3wh8Bi4H3gbzPzmXrGIUm9ZXPnuQaHJalJ1PtWJpk5H5i/UdklXabfBX6vm8121CG0/qoZtr0Z\ntqFRGr3vGr3+Qqp2niuoRh+/Rq+/P2uGfdcM29BTPd72yNzkuXtJkiQ1gEMySZIkFUShErMah3P6\nfmX5TyJiZN9H2Te2ti+KpoZjd2FELIqIpyLinojYrxFx9hcRMTsiVkTEwj5aX03/vUXE6RGREbFd\nvmlVRLUcu4j4w8rf3zMR8U9FiUs1nTtHRMR9EfF45fz5iUbE2R19ff5qlK1tZ5R9u3Jsn4qIiTU1\nnJmF+FB+iPZnlLvSGAw8CYzdqM7ngO9Wps8Avt/ouBu1L4r0qfHYHQvsXJn+bLMeuzru02OAicDC\nIhy/Sr3dgAeAh4G2Ru8jPzX/7Y0GHgf2qMwPKUJcfmo+fh3AZyvTY4GljY67hu3qs/NXkbcT+ATw\nQ8r9tx4N/KSWdot0xayW4ZxOAW6sTN8GHBfR973+9YFa9kWRbDXezLwvM9d1Evww5T7utBmZ+QDw\nWh+trtb/3v4SuBJoVGep2lQtx+484LrMfB0gM1cUJC7Vtp8S+GBlenc27Ru0cPr4/NUwNWznKcA/\nZtnDwG9FxNCttVukxKyW4ZzW18nycE5vAnv1SXR9q5Z9USTdjXc65V8RKoatHr+IOBwYnpnz+jIw\nbVUtf3sHAgdGxIMR8XBEnFCQuFTbfvoacFZEdFJ+E/gLfROa6qBHfwd17y5jG9RtOKcm0N+2s+Z4\nI+IsoA34aK9GpO7Y4vGLiB2Aq4Gz+yog1ayWv72BlG9nTqZ8pfr/RcS4zHyjwXGptv00FbghM6+q\njDrxvcrxe7/3w9M26tHfQZGumNUynNP6OpXhnHanOS+X1rIviqSmeCPi48BfACdn5m/6KDZt3daO\n327AOOD+iFhK+VmJub4AUAi1njdvz8z3MvNFyp17jy5AXKptP00HbgXIzB8DO1Iei1XF16O/gyIl\nZrUMczIXmFaZPh24NytP2DWZ/jbky1bjrdwK+3vKSVlfPOOi2m3x+GXmm5m5d2aOzMyRlJ8RPDkz\nezwWnOqmlnPFDyi/fENE7E351uYm4xM3IC7Vtp9+DhwHEBFjKCdmK/s0SvXUXOCPK29nHg28mZkv\nb+1LhUnMKs+MrRvm5Fng1qwM5xQRJ1eqzQL2iogXgAuBpnwFe3P7orFRbV6Nx+6vKQ9Y/88R8URE\neJLegoiYA/wYOCgiOiNiem+tq8bjpwKq8djdCbwaEYuA+4CvZOarjYirN9fZH9V4/C4CzouIJ4E5\nwNlFvyDRl+evRqq2nRFxfkScX6kyn/KPoBcoD0f5uZraLfjxlSRJ2m4U5oqZJEnS9s7ETJIkqSBM\nzCRJkgrCxEySJKkgTMwkSZIKwsRMfS4i3tnK8pERsbCbbd4QEadvW2SStGWev9TbTMwkSZIKwsRM\nDRMRu0bEPRHxWEQ8HRGndFk8MCJujIinIuK2iNi58p0jIuI/IuLRiLgzIoY2KHxJ2zHPX+otJmZq\npHeBT2XmRMpDxlwVEesGfT0I6MjMQ4G3gM9FxCDgWuD0zDwCmA1c3oC4Jcnzl3rFwEYHoO1aAH8V\nEccA7wPDgH0qy17KzAcr0zcBfwosoDyY9t2V898AYKvjjklSL/D8pV5hYqZGOhNoAY7IzPciYinl\nAXoBNh4rLCmfCJ/JzEl9F6IkVeX5S73CW5lqpN2BFZWT2rHAfl2WjYiIdSewqcB/AouBlnXlETEo\nIg7p04glqczzl3qFiZka6WagLSJKlH99Ptdl2bPAtIh4CtgT+LvMXA2cDnwzIp4EngA+3McxSxJ4\n/lIvicyNr7hKkiSpEbxiJkmSVBAmZpIkSQVhYiZJklQQJmaSJEkFYWImSZJUECZmkiRJBWFiJkmS\nVBAmZpIkSQXx/wED6PgC3eew2wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a984668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmYAAADgCAYAAACpWqpmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23639fc26a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmYAAADgCAYAAACpWqpmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwkySJKkk/j9Z11FnDvwB5QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a29a710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in star_list:\n",
    "    df_star = df[df['type']==i]\n",
    "    df_mean = df_star['urank'].groupby(df['label']).mean()\n",
    "    df_median = df_star['urank'].groupby(df['label']).median()\n",
    "    \n",
    "    fig = plt.figure(figsize=(10,3))\n",
    "    plt.title(i)\n",
    "    ax1 = fig.add_subplot(121)\n",
    "    ax1.bar(['0','1'],df_mean.values)\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"urank\")\n",
    "    ax2 = fig.add_subplot(122)\n",
    "    ax2.bar(['0','1'],df_median.values,color='red')\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"urank\")    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtgAAAFNCAYAAAA6kBhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nbRTvi2YUwFQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2362d8a4b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtgAAAFNCAYAAAA6kBhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a97c940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtgAAAFNCAYAAAA6kBhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2JIkSVKBDNiSJElSgQzYkiRJUoH+L+7WleoEQvzlAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a339b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in star_list:\n",
    "    df_star = df[df['type']==i]\n",
    "    df_mean = df_star['description'].groupby(df['label']).mean()\n",
    "    df_median = df_star['description'].groupby(df['label']).median()\n",
    "    \n",
    "    fig = plt.figure(figsize=(12,5))\n",
    "    plt.title(i)\n",
    "    ax1 = fig.add_subplot(121)\n",
    "    ax1.bar(['0','1'],df_mean.values)\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"description\")\n",
    "    ax2 = fig.add_subplot(122)\n",
    "    ax2.bar(['0','1'],df_median.values,color='red')\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"description\")    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmkAAADgCAYAAABYUfHrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a04ec50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAm8AAADgCAYAAABVT4GsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\neTMzMzMrIP8fCpQU2g/LLS0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a05e9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmkAAADgCAYAAABYUfHrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+AkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a18c4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in star_list:\n",
    "    df_star = df[df['type']==i]\n",
    "    df_mean = df_star['idCount'].groupby(df['label']).mean()\n",
    "    df_median = df_star['idCount'].groupby(df['label']).median()\n",
    "    \n",
    "    fig = plt.figure(figsize=(10,3))\n",
    "    plt.title(i)\n",
    "    ax1 = fig.add_subplot(121)\n",
    "    ax1.bar(['0','1'],df_mean.values)\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"idCount\")\n",
    "    ax2 = fig.add_subplot(122)\n",
    "    ax2.bar(['0','1'],df_median.values,color='red')\n",
    "    plt.xlabel(\"label\")\n",
    "    plt.ylabel(\"idCount\")    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\WinPython-64bit-3.6.3.0Qt5\\python-3.6.3.amd64\\lib\\site-packages\\ipykernel_launcher.py:4: RuntimeWarning: divide by zero encountered in log\n",
      "  after removing the cwd from sys.path.\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEWCAYAAAB1xKBvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzt3XuYHHWd7/H3J+OAAdEEiSwJgYB6\nokgWgrOAZkXAlUBEichRsssuXs5GPLou7i7PxqOPgotLXA64IipGiYCXiIrE7MIKHMFFUdAJJCQE\nIhcDJEEYhYQAESbJ9/xR1Umn05eqma7pnu7P63n66a5fV1d9+zL1narfTRGBmZlZI2NaHYCZmY0O\nThhmZpaJE4aZmWXihGFmZpk4YZiZWSZOGGZmlokThlkTSLpC0vl1ng9JrxrJmMyazQnDLCdJ75X0\n84K2fayktUVs22y4nDDMzCwTJwyzGiTNk/SgpE2SVkl6p6TXApcBb5D0jKQNZS8ZL+m6dP07JL2y\nxnZ3l/R/JT0i6XFJl0kaK2lP4L+Aiem2n5E0UdKYslj+IOl7kvYegY/AbCdOGGa1PQi8CXgZcB7w\nLWADcBbwy4h4SUSMK1t/TrreeOAB4LM1tvs54H8AhwOvAiYBn4qIZ4GTgPXptl8SEeuBjwKzgTcD\nE4GngC81842aZeGEYVZDRHw/ItZHxLaIuBq4Hziyzkt+GBG/iogtwLdJEsJOJAn4W+BjEfFkRGwC\n/hU4vc52Pwh8IiLWRsTzwLnAaZJeNLR3ZjY0/sGZ1SDpb4B/AKakRS8B9gG21njJ78oeP5euX2kC\nsAewNMkdya6AnjqhHAhcK2lbWdlWYF9gXZ3XmTWVE4ZZFZIOBL4GvIXk8tNWSctIDu7DGeL598Bm\n4HURUe1gX23bjwLvj4jbhrFfs2HzJSmz6vYkOXgPAEh6H3Bo+tzjwP6Sdsu70YjYRpKIPi/pFem2\nJ0maWbbtl0t6WdnLLgM+myYxJE2QdMoQ3pPZsDhhmFUREauAi4BfkhzEpwGl//BvBu4Bfifp90PY\n/D+TVIrfLulp4P8BU9P93gcsAh6StEHSROALwBLgRkmbgNuBo4b63syGSp5AyczMsvAZhpmZZeKE\nYWZmmThhmJlZJoU2q5W0EDgZeCIiDk3Lriat4APGARsioloHpzXAJpL25lsioq/IWM3MrL5CK70l\nHQM8A1xVShgVz18EbIyIz1R5bg3QFxGZW6Hss88+MWXKlKEHbGbWhZYuXfr7iJjQaL1CzzAi4lZJ\nU6o9lw6R8G7g+Gbtb8qUKfT39zdrc2ZmXUHSw1nWa2UdxpuAxyPi/hrPB0m786WS5tbaiKS5kvol\n9Q8MDBQSqJmZtTZhzCHpoFTLjIg4gmT0zg+nl7d2ERELIqIvIvomTGh4RmVmZkPUkoSRjrJ5KnB1\nrXXSYZ2JiCeAa6k/SqiZmRWsVWcYfwHcFxFVp6KUtKekvUqPgROAlSMYn5mZVSg0YUhaRDIWz1RJ\nayV9IH3qdCouR6Uzi12fLu4L/FzScuBXwHUR8eMiYzUzs/qKbiU1p0b5e6uUrQdmpY8fAg4rMrZy\nb734p9z/xLPbl8cAF7/ncGZPnzRSIZiZtb2u7+ldmSwAtgFnX72MxXd5bhozs5KuTxiVyaLchTes\nHsFIzMzaW9cnjHrWb9jc6hDMzNqGE0YdE8eNbXUIZmZto+sTRr0P4JyZU+s8a2bWXbo+YVz8nl0G\nygXgjKMPcCspM7MyhTarHQ1KSeHCG1azfsNmJo4byzkzpzpZmJlV6PozDID+h5/kdxv/SAC/2/hH\n+h9+stUhmZm1na4/w/jk4hV86/ZHti9vjdi+fP7saa0Ky8ys7XT9GcaiOx6tWv6dOx6pWm5m1q26\nPmFsrTHj4LbAPb3NzMp0fcKoxz29zcx2cMKoY517epuZbeeE0YAvS5mZJZwwGvBlKTOzhBNGAx6A\n0Mws4YTRgAcgNDNLOGHUMQYPQGhmVuKEUYenaTUz28EJow4nCzOzHZwwzMwsk0IThqSFkp6QtLKs\n7FxJ6yQtS2+zarz2REmrJT0gaV6RcZqZWWNFn2FcAZxYpfzzEXF4eru+8klJPcCXgJOAQ4A5kg4p\nNNIq3GnPzGyHQhNGRNwKDGVyiSOBByLioYh4AfgucEpTg8vAnfbMzHZoVR3GRyTdnV6yGl/l+UlA\n+bjja9OyXUiaK6lfUv/AwEBTg3SnPTOzHVqRML4CvBI4HHgMuKjKOqpSVnUc8ohYEBF9EdE3YcKE\n5kWJO+2ZmZUb8YQREY9HxNaI2AZ8jeTyU6W1wOSy5f2B9SMRXzl32jMz22HEE4ak/coW3wmsrLLa\nr4FXSzpI0m7A6cCSkYivnPthmJntUOic3pIWAccC+0haC3waOFbS4SSXmNYAH0zXnQh8PSJmRcQW\nSR8BbgB6gIURcU+RsZqZWX2FJoyImFOl+PIa664HZpUtXw/s0uTWzMxawz29zcwsEycMMzPLxAmj\nDvf0NjPbwQmjDvf0NjPbwQmjDvf0NjPbwQmjDvf0NjPbwQmjjuNe09yhRszMRjMnjDr+c/ljrQ7B\nzKxtOGHUsWHzYKtDMDNrG04YZmaWiRNGHWOqDbJuZtalnDDq2FZ1Bg4zs+7khFHH+D16Wx2CmVnb\ncMKo45k/bvHwIGZmKSeMOga3hYcHMTNL5ZoPQ9J4YCKwGViTTrPa0Tw8iJlZomHCkPQy4MPAHGA3\nYAB4MbCvpNuBL0fELYVG2UIeHsTMLJHlDOMHwFXAmyJiQ/kTkvqAMyQdHBFVZ9Ibzcb29nDOzKmt\nDsPMrC00TBgR8dY6z/UD/U2NqI1ccOo0Zk+f1OowzMzaQuZKb0k/yVLWSZwszMx2yFKH8WJgD2Cf\ntNK71P/5pSQV4PVeuxA4GXgiIg5Nyy4E3g68ADwIvK/yUle63hpgE7AV2BIRfRnfk5mZFSDLGcYH\ngaXAa9L70u1HwJcavPYK4MSKspuAQyPiT4HfAB+v8/rjIuLwViUL98EwM9shSx3GF4AvSPq7iPhi\nno1HxK2SplSU3Vi2eDtwWp5tjqSP/3AF4EtTZmaQox9GRHxR0huBKeWvi4irhrH/9wNX19olcKOk\nAL4aEQuqrSRpLjAX4IADDhhGKLvaPLiVC29Y7YRhZkaOhCHpm8ArgWUk9QqQHNSHlDAkfQLYAny7\nxiozImK9pFcAN0m6LyJurVwpTSQLAPr6+po+XKA77pmZJfL09O4DDomIYR+UJZ1JUhn+llrbi4j1\n6f0Tkq4FjgR2SRhFc8c9M7NEnrGkVgJ/MtwdSjoR+GfgHRHxXI119pS0V+kxcEK6/xE1Btxxz8ws\nlecMYx9glaRfAc+XCiPiHbVeIGkRcCxJk9y1wKdJWkXtTnKZCeD2iDhL0kTg6xExC9gXuDZ9/kXA\ndyLix3neWFPIFd5mZiV5Esa5eTceEXOqFFcdQiS9BDUrffwQcFje/TWbJ1AyM9shTyup/y4ykHbU\nI8/RamZWkqeV1CaSVlGQjFrbCzwbES8tIrB2MOeoya0OwcysbeQ5w9irfFnSbJKWSx3r/NnTWh2C\nmVnbGPKMexGxGDi+ibGYmVkby3NJ6tSyxTEk/TJcLWxm1iXytJJ6e9njLcAa4JSmRmNmZm0rTx3G\n+4oMxMzM2lueCZT2l3StpCckPS7pGkn7FxmcmZm1jzyV3t8AlpBMmjQJ+I+0zMzMukCehDEhIr4R\nEVvS2xXAhILiMjOzNpMnYfxe0hmSetLbGcAfigrMzMzaS56E8X7g3cDvgMdIZsp7fxFBmZlZ+8nT\nSuoRoObItGZm1tnytJK6UtK4suXxkhYWE5aZmbWbPJek/jQiNpQWIuIpYHrzQzIzs3aUJ2GMkTS+\ntCBpb/L1FDczs1EszwH/IuAXkn5AMobUu4HPFhKVmZm1nTyV3ldJ6icZoVbAqRGxqvS8pPHpZSoz\nM+tAuYY3j4hVEXFpRHyxPFmkftLEuNrCJxevaHUIZmZtY8jzYVTRcfOZLrrj0VaHYGbWNpqZMHaZ\nG0PSwnSwwpVlZXtLuknS/en9+MrXpeudma5zv6QzmxhnZlvD032YmZU0M2FUcwVwYkXZPOAnEfFq\nkstY8ypflLbA+jRwFMk0sJ+ulViK1KOOO2kyMxuyQi9JRcStwJMVxacAV6aPrwRmV9nWTOCmiHgy\nrUi/iV0TT+GOPnjEc5SZWdvK09P7lZJ2Tx8fK+mj5T2/gbdk3NS+EfEYQHr/iirrTALKKxDWpmXV\n4porqV9S/8DAQMYQsln12Kambs/MbDTLc4ZxDbBV0quAy4GDgO+UnoyIyjOJ4ah2LahqhUJELIiI\nvojomzChuaOtP/XcYFO3Z2Y2muVJGNsiYgvwTuDfI+JjwH5D2OfjkvYDSO+fqLLOWmBy2fL+wPoh\n7MvMzJokT8IYlDQHOBP4z7Ssdwj7XJJug/T+R1XWuQE4IR3gcDxwQlpmZmYtkidhvA94A/DZiPit\npIOAb9V7gaRFwC+BqZLWSvoAMB94q6T7gbemy0jqk/R12H5561+AX6e3zzT5kpeZmeWUaWgQST3A\n/4mIM0plEfFb0oN9LRExp8ZTu1SQR0Q/8L/KlhcCHj7dzKxNZDrDiIitwARJuxUcj5mZtak8o9Wu\nAW6TtAR4tlQYERc3OygzM2s/eeow1pNUdo8B9iq7dbTFd61rdQhmZm0hz/Dm5wFI2jMinm20fqe4\n8IbVzJ5etc+gmVlXydPT+w2SVgH3psuHSfpyYZG1ifUbNrc6BDOztpDnktS/k4zx9AeAiFgOHFNE\nUO1k4rixrQ7BzKwt5J1AqXKCiK1NjKUtnTNzaqtDMDNrC3laST0q6Y1ApM1rP0p6eaqTuf7CzCyR\n5wzjLODDJKPGrgUOT5fNzKwL5DnDeCYi/qqwSMzMrK3lSRgrJT0O/Ay4FbgtIjYWE1Z7GNtb9ISE\nZmajR+YjYkS8CpgDrABOBpZLWlZUYO1gm6f0NjPbLvMZhqT9gRnAm4DDgHuAnxcUV1t4fsu2Vodg\nZtY28lySeoRkqPF/jYizCorHzMzaVJ6L9NOBq4C/lPRLSVel81uYmVkXyDOW1HJJDwIPklyWOoOk\np/flBcVmZmZtJE8dRj+wO/ALkrqLYyLi4aICMzOz9pKnDuOkiBgoLBIzM2treeowXpB0saT+9HaR\npJcVFpmZmbWVPAljIbAJeHd6exr4RhFBmZlZ+8mTMF4ZEZ+OiIfS23nAwUUF1i48456ZWSJPwtgs\n6c9LC5JmAEOaXUjSVEnLym5PSzq7Yp1jJW0sW+dTQ9nXcH3i2hWt2K2ZWdvJU+n9IeDKtN5CwJPA\ne4ey04hYTTLaLZJ6gHXAtVVW/VlEnDyUfTTLsy9sZfFd6zzMuZl1vTz9MJYBh0l6abr8dJNieAvw\nYDs30fW83mZmGRKGpH+oUQ5ARFw8zBhOBxbVeO4NkpYD64F/ioh7qsQxF5gLcMABBwwzlOrWeV5v\nM7NMdRh7NbgNWTpz3zuA71d5+k7gwIg4DPgisLjaNiJiQUT0RUTfhAkThhNOTT1pcjQz62YNzzDS\n1lBFOQm4MyIer7Lfp8seXy/py5L2iYjfFxhPVVvD45ybWXtafNc6LrxhNes3bGbiuLGcM3NqYZfQ\ns1ySuqTe8xHx0WHsfw41LkdJ+hPg8YgISUeSnA39YRj7GrLxe/QyY/7NI/KFmJlltfiudXz8hyvY\nPLgVSC6ff/yHScvOIo5RWSq9lzZ9r4CkPYC3Ah8sKzsLICIuA04DPiRpC0nz3dMjWvOv/sbnBnnq\nuUGg+C/EzCyrC29YvT1ZlGwe3FpYQ50sl6SuLF+WtFdSHM8MZ8cR8Rzw8oqyy8oeXwpcOpx9NEvl\nNEpFfiFmZlmtr9Egp1b5cGXuuCfpUEl3ASuBVZKWSnpdIVGNAkV9IWZmWU0cNzZX+XDl6em9APiH\niDgwIg4A/hH4WiFRjQJFfSFmZlmdM3MqY3t7diob29vDOTOnFrK/PD2994yIW0oLEfFTSXsWEFPb\nq/xCRrKVgplZSek4M1LHH2WtR5Z0LUnfiG+mRWcAfRExu5DIhqCvry/6+/tzvWbKvOuaHkfPGLHX\n7i9i4+bBzF/g4rvWcd5/3LO9cn3c2F7OfcfrMn/xtZJWs5KZk6JZ55K0NCL6Gq6XI2GMB84DSgMQ\n3gqcFxFPDTnKJmuXhFGpt0fsudvOCQR2/Fcwbo/e7Ymimkk1DtClg/i6DZsRUP5Nju3t4V2vn8Q1\nS9ft1IqitF6tbZb75OIVLLrj0ar9UMb29nDBqdNqxuTEYjZ6NC1hSPpmRPy1pL+PiC80LcICtGvC\nqNTbIwgY3Ja9lXDlAbqy/XU1PVLdToe1DvqQJItv3f5I3ZgmjRvLbfOO375cLaZ6+zCz9pA1YWSp\n9H69pAOB90saL2nv8tvwQ+0+g1sjV7KAHU15S6q1v67UqId65TbLLbrj0YYxVbYUq9cm3MxGvyyV\n3pcBPyaZLGkpyVWNkqALJlFqF+UH6CzNehudYdTbTpbhUCpbio10m3AzG1kNzzAi4pKIeC2wMCIO\njoiDym5OFiOo/ADdqFnv2N4e5hw1eZcmd/W2Wa7RgIvVmu6NdJtwMxtZDROGpJcARMSHGq1j2fT2\niN4x+UbArTxAV2t/XdripHFjueDUaZw/exoXnDqNSekBu3KP9dprzzlqcs1YStuvrJcY6TbhZjay\nslyS+pGkZcCPgKUR8SyApIOB44B3k3Tg+0FhUY5yjVpJTRw3luNeM4Fb7huouVzZ2ihr++vZ0yft\nVFGetQXT+bOnAWxvJdUjMeeoydvLqxnpNuFmNrIyNauVNAv4K2AGsDcwCKwGrgMuj4jfFRlkVkW2\nkio1Rx0jyFNfnbc/hZnZSMvaSipTT++IuB64fthRjWKlvgu3zTu+ZvPRd71+Ut2zAjOz0Szz0CCS\njqhSvBF4OCK2NC+k9lVq7VOr+egt9w3s1C/BzKyT5BlL6svAEcDdJFdoDk0fv1zSWRFxYwHxtZVx\ne/QCtef4dvNRM+tkeUarXQNMT+fPfj0wnWSo878A/q2A2NrOxucG+eTiFbu0Nipx81Ez62R5zjBe\nExH3lBYiYpWk6RHxkBq02e8U20haDdWq867XfNRjLJnZaJcnYayW9BXgu+nye4DfSNqdpNVUV8jS\nA7rSSM+7a2ZWhDyXpN4LPACcDXwMeCgtGyTpj9EV6p1L1RozyWMsmVknyHyGERGbJX0RuJGklenq\niCidWQxrfu9OsW7DZhbftW6XswaPsWRmnSDPnN7HAvcDl5K0mPqNpGOGumNJayStkLRM0i697ZS4\nRNIDku6u0ax3xDW6IHX21cs4/LwbWXzXuu1lHmPJzDpBnktSFwEnRMSbI+IYYCbw+WHu/7iIOLxG\nD8OTgFent7nAV4a5rxGzYfMg53x/+fakcdxrJlRdr1a5mVk7ypMweiNi+0X3iPgN0Nv8kLY7Bbgq\nErcD4yTtV+D+mmpwW3DukqRR2S33DVRd57q7HxvJkMzMhiVPwuiXdLmkY9Pb10jmxxiqAG6UtFTS\n3CrPTwLKZ/FZm5btRNJcSf2S+gcGqh+YW2XD5qSKp1ZdxVPPDe506crMrJ3laVb7IeDDwEdJGgvd\nSlKXMVQzImK9pFcAN0m6LyJuLXu+WoOkXaoQImIBsACSwQeHEU8hZsy/uW69x4U3rB5y01r37TCz\nkZSnldTzwMXpbdgiYn16/4Ska4EjSZJQyVqgfFKG/YH1zdj3SKo1jEjJUFtKuW+HmY20LBMorUhb\nKVW9DWWnkvaUtFfpMXACyTAj5ZYAf5O2ljoa2BgRHXfRf6gtpdy3w8xGWpYzjJML2O++wLXpkCIv\nAr4TET+WdBZARFxGMpz6LJLOgs8B7ysgjkJMGje24ZkFDG82OvftMLOR1jBhRMTDzd5pRDwEHFal\n/LKyx0FSZzIqCPjt/LdtX54x/+aqSaNHYlvEsOscJtZISp3St8P1M2btJ08rqV1IWtCsQEa70tDn\nJbXmt77o3Yfx2/lv47Z5xw/rANjJ82eX6mfWbdhMsKN+xi3KzForTyupar7alChGgd4xYrDO3KzP\n/HHLTsOCNJrferj/QXfy/Nn16mc64f2ZDVerzsBzJwxJLyW5YrQpIobTD2NU6e0Rr3jpi5M6AkHl\noLWD22KXA9rs6ZOqfonNauFUa/ujnetnzGprZQvJPGNJ9UlaQTLL3kpJyyW9vrjQ2stzg9u4bd7x\nST1FjRON0uCDjbiFU30ee8ustlYeP/LUYSwE/ndETImIA0kqpL9RTFjtqZQM6h24slxr93/Q9XVy\n/YzZcLXy+JEnYWyKiJ+VFiLi58Cm5ofUvkoZvNoBrSRLpvd/0PXNnj6JC06dxqRxYxFJM+ULTp3W\nkZffzPJq5fEjTx3GryR9FVhEclHmPcBPS8OOR8SdBcTXVkrNWEsHrrOvXlZzvWrzYpScM3PqTtcg\nwf9BV+rU+hmz4Wrl8SNPwjg8vf9Uei+SxPHG9P74JsbVlnqk7a0TGnXMO+f7y4HqlVCd3MLJzIrV\nyuOHIuMc1ZJeDLwLmMKORBMR8ZliQsuvr68v+vt3mYuprinzrsu1/tjenl0qnGqZNG4st83r+Dxq\nZqOcpKU15iXaSZ4zjMXABuBO4I9pWduNDlukHilzsgBXYptZZ8mTMPaPiBMLi6TN5TmzKHEltpl1\nkjytpH4haVphkbS5UqudrASuxDazjpInYfw5sFTS6nRo8xVDHd58tMozB3cA/Q8/WVwwo8Tiu9Yx\nY/7NHDTvOmbMv9njQZmNYnkuSZ1UWBSjwLlL7mHP3fONpLLojkc5f3bXnpR5kiezDpNnxr2mD3M+\nmmzYPMjGdI7urLZmbIHWqTyIoFlnGdbw5t0mbyV2j6pNS949PASKWWdxwsih3pAg1cw5anLjlTqY\nh0Ax6yxOGBmNG9u70xhHjey5W09X11+ABxE06zROGBmdfNh+QFJZ26j39tjeHj77zu5OFuBBBM06\nzXBn3Osa1yxdR9+Be2c62PmguIMHETTrHC05w5A0WdItku6VdI+kv6+yzrGSNkpalt4+VW1bI6Vy\n2PLxFXN4l5f7AGlmnahVZxhbgH+MiDsl7UXSIfCmiFhVsd7PIuLkFsRXVXnrnk+//XWc84PlDG7d\nuensIfvtxYz5N3sUWjMbtlbN3V1LSxJGRDwGPJY+3iTpXmASUJkw2kpl657desYwuHXnfga3Pbij\nd3eWjmrt9oMws/bQjh1fW17pLWkKMB24o8rTb0jnDv8vSa+r8fq5kvol9Q8MDBQWZ3nrntIX+ewL\njQcjrDcDX2k76zZsJtjxg/DwGWbWyrm7a2lpwpD0EuAa4OyIeLri6TuBAyPiMOCLJMOr7yIiFkRE\nX0T0TZiQfaynPCpb91T7Iuup1VGtHX8QZtYe2rHja8sShqRekmTx7Yj4YeXzEfF0RDyTPr4e6JW0\nzwiHCbDLZaK8X1itjmrt+IMws/bQjh1fW9VKSsDlwL0RcXGNdf4kXQ9JR5LE+oeRi3KHyv/483xh\n9TqqteMPwszaQzt2fG3VGcYM4K+B48uazc6SdJaks9J1TgNWSloOXAKcHlnnk22yyv/4aw0RMm5s\nL2ccfUDmjmrt+IMws/bQjh1fW9VK6uckcwzVW+dS4NKRiai+yv/4mzUJeysnczez9tduHV/d0zuD\nav/xN+uLbLcfhJlZLS1vVjsa+IBuZuaE0VCeebzNzDqZE0YDroA2M0u4DqOBs69exj9+bzlbI5jk\nSmkz62I+w8igNDe3h+4ws27mhJGTh+4ws27lhDEEHrrDzLqRE8YQeOgOM+tGThg5eegOM+tWbiWV\nQY/kVlJm1vWcMBoQ8OAFs1odhplZy/mSVAOurzAzSzhhNHDca4qZxc/MbLRxwmjgmqXr3FHPzAwn\njIbcUc/MLOGEkYE76pmZOWFk4opvMzMnjIbcUc/MLNH1CWPN/LfVfK4dJl03M2sX7rhH/aRhZmaJ\nliUMSScCXwB6gK9HxPyK53cHrgJeD/wBeE9ErCkilinzrqta3iMx56jJnD97WhG7NTMbVVpySUpS\nD/Al4CTgEGCOpEMqVvsA8FREvAr4PPC5ImKplSwgmTjpW7c/wicXryhi12Zmo0qr6jCOBB6IiIci\n4gXgu8ApFeucAlyZPv4B8BZJGsEYt1t0x6Ot2K2ZWVtpVcKYBJQfhdemZVXXiYgtwEbg5ZUbkjRX\nUr+k/oGBgUKCLU3RambWzVqVMKqdKVQelbOsQ0QsiIi+iOibMKGYcZ96WnNiY2bWVlqVMNYCk8uW\n9wfW11pH0ouAlwFPjkh0FeYcNbnxSmZmHa5VCePXwKslHSRpN+B0YEnFOkuAM9PHpwE3RzT/2lC9\nJrU9EmccfYBbSZmZ0aJmtRGxRdJHgBtImtUujIh7JH0G6I+IJcDlwDclPUByZnF6UfG4H4aZWWMt\n64cREdcD11eUfars8R+B/znScZmZWXVdPzSImZll44RhZmaZOGGYmVkmThhmZpaJCmip2jKSBoCH\nh7GJfYDfNymc0ajb3z/4MwB/BtB9n8GBEdGw53NHJYzhktQfEX2tjqNVuv39gz8D8GcA/gxq8SUp\nMzPLxAnDzMwyccLY2YJWB9Bi3f7+wZ8B+DMAfwZVuQ7DzMwy8RmGmZll4oRhZmaZOGEAkk6UtFrS\nA5LmtTqeIklaI2mFpGWS+tOyvSXdJOn+9H58Wi5Jl6Sfy92Sjmht9EMjaaGkJyStLCvL/Z4lnZmu\nf7+kM6vtq13V+AzOlbQu/S0skzSr7LmPp5/Bakkzy8pH5d+KpMmSbpF0r6R7JP19Wt5Vv4Nhi4iu\nvpEMr/4gcDCwG7AcOKTVcRX4ftcA+1SU/RswL308D/hc+ngW8F8ksx8eDdzR6viH+J6PAY4AVg71\nPQN7Aw+l9+PTx+Nb/d6G+RmcC/xTlXUPSf8OdgcOSv8+ekbz3wqwH3BE+ngv4Dfp++yq38Fwbz7D\ngCOBByLioYh4AfgucEqLYxpppwBXpo+vBGaXlV8ViduBcZL2a0WAwxERt7LrbI153/NM4KaIeDIi\nngJuAk4sPvrmqPEZ1HIK8N2IeD4ifgs8QPJ3Mmr/ViLisYi4M328CbgXmESX/Q6Gywkj+dE8Wra8\nNi3rVAHcKGmppLlp2b4R8RjGsoIaAAADkklEQVQkf1jAK9LyTv5s8r7nTv0sPpJecllYuhxDh38G\nkqYA04E78O8gFyeM5JSzUie3NZ4REUcAJwEflnRMnXW77bOB2u+5Ez+LrwCvBA4HHgMuSss79jOQ\n9BLgGuDsiHi63qpVyjriMxgOJ4zkP4TJZcv7A+tbFEvhImJ9ev8EcC3JZYbHS5ea0vsn0tU7+bPJ\n+5477rOIiMcjYmtEbAO+RvJbgA79DCT1kiSLb0fED9Pirv8d5OGEAb8GXi3pIEm7kcwdvqTFMRVC\n0p6S9io9Bk4AVpK831JrjzOBH6WPlwB/k7YYORrYWDp97wB53/MNwAmSxqeXbk5Iy0ativqod5L8\nFiD5DE6XtLukg4BXA79iFP+tSBJwOXBvRFxc9lTX/w5yaXWtezvcSFpE/IakBcgnWh1Pge/zYJKW\nLcuBe0rvFXg58BPg/vR+77RcwJfSz2UF0Nfq9zDE972I5JLLIMl/iB8YynsG3k9SAfwA8L5Wv68m\nfAbfTN/j3SQHyP3K1v9E+hmsBk4qKx+VfyvAn5NcOrobWJbeZnXb72C4Nw8NYmZmmfiSlJmZZeKE\nYWZmmThhmJlZJk4YZmaWiROGmZll4oRh1oCkX9Qov0LSaenjXknz0xFMV0r6laSTmhzHFEl/2cxt\nmuXhhGHWQES8McNq/0IyIuqhEXEo8HaSUVGbaQrghGEt44Rh1oCkZ9J7SbpU0ipJ15EOVCdpD+Bv\ngb+LiOdh+7Ab30ufn6NkDpKVkj5Xud308WmSrkgfX5HOxfALSQ+VzmKA+cCb0rkrPlb8OzfbmROG\nWXbvBKYC00gSROnM41XAI1FlMDtJE4HPAceTDPL3Z5JmV65XxX4kvZNPJkkUkMzX8LOIODwiPj+c\nN2I2FE4YZtkdAyyKZMC+9cDNGV7zZ8BPI2IgIrYA306308jiiNgWEauAfYceslnzOGGY5VNtLJ0H\ngANKAztWqDYcdrVtvbjiueczbsNsxDhhmGV3K8korj3pSK/HAUTEcyQjoV6SjuKKpP0knUEySc+b\nJe0jqQeYA/x3ur3HJb1W0hiSy12NbKL5FelmmTlhmGV3LcmopitIJh/677LnPgkMAKskrQQWAwOR\nDIn9ceAWklGC74yI0hDa84D/JLm0lWXY+LuBLZKWu9LbWsGj1ZqZWSY+wzAzs0ycMMzMLBMnDDMz\ny8QJw8zMMnHCMDOzTJwwzMwsEycMMzPL5P8D/b1NQruQTkIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a238b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEWCAYAAAB1xKBvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x236421b9cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEWCAYAAACEz/viAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a9b4208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in star_list:\n",
    "    df_star = df[df['type']==i]\n",
    "    plt.title(i)\n",
    "    plt.scatter(df_star['idCount'],np.log(df_star['followers_count']))\n",
    "    plt.xlabel(\"idCount\")\n",
    "    plt.ylabel(\"np.log(followers_count)\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\WinPython-64bit-3.6.3.0Qt5\\python-3.6.3.amd64\\lib\\site-packages\\ipykernel_launcher.py:4: RuntimeWarning: divide by zero encountered in log\n",
      "  after removing the cwd from sys.path.\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEWCAYAAACEz/viAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a9624e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEWCAYAAACEz/viAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/H/owxXpcKQ+4wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363543c588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEWCAYAAACEz/viAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDMzMDPj//47Y1pLGmLMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363301d320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in star_list:\n",
    "    df_star = df[df['type']==i]\n",
    "    plt.title(i)\n",
    "    plt.scatter(df_star['idCount'],np.log(df_star['follow_count']))\n",
    "    plt.xlabel(\"idCount\")\n",
    "    plt.ylabel(\"np.log(follow_count)\")\n",
    "    plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\WinPython-64bit-3.6.3.0Qt5\\python-3.6.3.amd64\\lib\\site-packages\\ipykernel_launcher.py:4: RuntimeWarning: divide by zero encountered in log\n",
      "  after removing the cwd from sys.path.\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEWCAYAAACEz/viAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZoaDgZmZ4WBgZmY4GJiZGQ4GZmYG/A/X6sEzJB9gAwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363301b358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEWCAYAAACEz/viAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23635441ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEWCAYAAACEz/viAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzt3X+cXGV59/HPN8sCGwpu0kQLCyGg\nNlZJIbC2aKxFtII/iikgSKUPVV/FPv2h0jYalAr28Snpk4pS6+NDqoJViijQiECNPvzQViuaECAE\niFBEZAOyVBaxWWGTXP3jnFkmm5nZOfPrzMz5vl+vfe3OmbNz7rMnmWvOdd/3dSsiMDOzYpuTdwPM\nzCx/DgZmZuZgYGZmDgZmZoaDgZmZ4WBgZmY4GJiZGQ4GZplIukDS5/Nuh1mrORiYdZCkvfJug1kl\nDgZmVUh6n6QxSU9J2irpDcD7gdMl/UzSHel+b5N0T7rfA5LeWfYax0l6OH2tR4FLczods5r8KcWs\nAklLgD8BXhoR2yQtBgaAvwZeEBFnlu3+GPBG4AHglcC/SPpeRNyWPv9LwHzgUPwBzLqUg4FZZTuB\nfYAXSxqPiAcBJO2xY0RcX/bwG5K+BvwGUAoGu4DzI+LptrbYrAn+lGJWQUTcD7wHuAB4TNIXJB1U\naV9Jr5P0HUk/kTQBvB5YULbLeET8vO2NNmuCg4FZFRHxTxHxCpL0TgB/k36fJmkf4Grgb4HnRcQw\ncANQfgvh0sDW9RwMzCqQtETS8emb/c+BSZLU0Y+BxZJK/3f2JkknjQM7JL0OeG0ebTZrhoOBWWX7\nAKuBx4FHgeeSjCT6Uvr8f0q6LSKeAt4FfBF4Avhd4NrON9esOfLiNmZm5jsDMzNzMDAzszYHA0mf\nkfSYpLsqPPcXkkLSgkq/a2ZmndPuO4PLgBNnbpR0CPBbwENtPr6ZmdWhrTOQI+Kb6TT+mT4KvBf4\ncr2vtWDBgli8uNJLmZlZNRs3bnw8IhbOtl/Hy1FIOgkYi4g7Kk3tn7Hv2cDZAIsWLWLDhg0daKGZ\nWf+Q9MN69utoB7KkucAHgA/Ws39ErI2I0YgYXbhw1sBmZmYN6vRooucDhwF3SHoQOBi4TdIvdbgd\nZmZWpqNpoojYTDKTE4A0IIxGxOOdbIeZme2u3UNLrwD+HViSLvDxjnYez8zMGtPu0URnzPL84nYe\n38zM6tP3i9us2zTGmvVb2TYxyUHDQ6w8YQkrlo3k3Swzs67S18Fg3aYxzr1mM5NTOwEYm5jk3Gs2\nAzggmJmV6evaRGvWb50OBCWTUztZs35rTi0yM+tOfR0MxiYmM203Myuqvg0G6zaNVX1uYJaZz2Zm\nRdO3waBWKminF/QxM9tN33Yg10oFjQwPVX3Oo4/MrIj6NhjUsvKEJRW3e/SRmRVV36aJaqn2xu7R\nR2ZWVIUMBtVsq5JaqrbdzKxfOBiUOahKX0K17WZm/cLBoMzKE5YwNDiw27ahwYGqfQxmZv2ibzuQ\nJag0glTA8tU3sW1ikuG5g0TAk5NT0yOHLjx5qUcTmVnh9G0wqDaVIHh22OkT26emt5dGDl148lK+\nter4DrTQzKx7OE1UxiOHzKyoHAxmGJuYrFnKwsysHzkYVHDuNZsdEMysUBwMKnC6yMyKxsGgCk80\nM7MiKXwwqFbM2hPNzKxI2hoMJH1G0mOS7irbtkbSvZLulPTPkobb2YbZBHsGBE80M7OiafedwWXA\niTO2fR04IiJ+Ffg+cG6b2zCr4Nmy1gPSdJ+BO5HNrCjaGgwi4pvAT2Zs+1pE7Egffgc4uJ1tqMdI\nOtN4aHBgeuGb0iQ0BwQzK4K8+wzeDvxLtSclnS1pg6QN4+PjbWlAKSXk8tVmVmS5BQNJHwB2AJdX\n2yci1kbEaESMLly4sC3tOOWYEVYsG3H5ajMrtFxqE0k6C3gj8OqIfBckvnrjGKOHzmd47uButYpK\nhucO5tAqM7PO6ngwkHQi8D7gNyNie6ePP1MpFVS1sN2M7c2skez1lc2sW7U1GEi6AjgOWCDpYeB8\nktFD+wBflwTwnYj4w3a2YzZjNVJBE5NT053IH/rKloqVTmH2NZK9vrKZdbO2BoOIOKPC5k+385jt\nsPKqO9i5M9hV4bnJqZ186CtbZn1Dr9VB7WBgZnnLezRRT5iqEghKntg+NesQVHdQm1k3czBokdmG\noHp9ZTPrZg4GLTLbJ3yvr2xm3axvl73stNk+4Zf6BTyaqDM8csssGweDFqj3E/6KZSN+Q+oAj9wy\ny85poiYNDw1y4clL/SbTRVxaxCw73xk06ZkdOx0IuoxHbnUnp+6y6fTfy8GgSdunqg869T/+fBw0\nPFRxImGpX6dI16VbztWpu2zy+Hs5TdQm563bzDlX3s7YxCSBS2J3Uq2RW6X/ZEW4Lt10rk7dZZPH\n38vBoEmqsG7muk1jXP6dh5hZ7sj/+DtjxbIRLjx5KSPDQ4hkvYpSv06R3pS66Vydussmj7+X00RN\neuuvL9pj25r1W/cIBCX+x98Z1UZuFelNqZvOdbbUne0uj7+X7wyadN0dj3DYqutZvvqm6dvvWv/Z\n/I8/X0WaCd5N5+pJl9nk8fdyMGjSxOTUdD72nCtv57x1m3nOUOU1EAT+x5+zIr0pddO51krd2Z7y\n+Hsp57Vl6jY6OhobNmyoe//Fq65vY2tqmyPYVeHPuvz587n8D17W+QbZbrplhE0nFOlcrTJJGyNi\ndLb93GfQBpUCAcBtDz3Juk1j/s+YsyLNBC/SuVpzHAw6qNb6Bf4EZ2Z5cjDosLGJyT3uDrp5Qk5e\nQcrB0ayz3IGcg5kTf7ppPHi5vCYtddNkKbOicDDIwcw3+m4aD14uryDVrcHRrJ/VHQwkzZG0TNIb\nJB0v6XntbFi/G5uYnJ6b0E3jwcvlFaS6NTia9bNZ+wwkPR94H/Aa4D5gHNgX+GVJ24FLgM9GRK1l\ngq2CUvrjlGNGuHrj2G6fhsvHg8/Mn7/qRQu5+d7xtubT120aY47EzgpDj9sdpDxb1azz6rkz+DDw\neeD5EXFCRJwZEadGxK8CJwHPAX6v0i9K+oykxyTdVbZtvqSvS7ov/T6vFSfSqyandnLzveNVJ5hU\nyp9//jsPtTWfXiqyVykQdGLSUjdNljIrilmDQUScERHfBPau8PSTEfGxiPhslV+/DDhxxrZVwI0R\n8ULgxvRx3xuoVNEuNTYxyZr1WxmbmGSONP24dEcwM38+Uyvz6dWK7EFyDp2YNerZqmadl2Vo6b8D\nR9exbVpEfFPS4hmb3wQcl/78WeAWkjRUX9sZwUCVtItgOi1Ser5U3qLe+eGz5dPrHapZq8jeroiO\nvSF7spRZZ9XTZ/BLwAgwJGkZyXsXwAHA3AaO+byIeAQgIh6R9Nwaxz4bOBtg0aI9q4P2mmqBoNqb\nb5ZCIbXy6VnmMbjInlkx1XNncALw+8DBwEVl258C3t+GNk2LiLXAWkhqE7XzWHmodqeQ1eAc1cyn\n1xqqOTMYVOu8dZE9s/42azBI+wM+K+mUiLi6Bcf8saQD07uCA4HHWvCaPWlXBCNV3nyrmTd3kCcn\np3avf1S9OwLINlRz5QlLdruLKL38W49d1PVpG89aNmtclkln10n6XUnvl/TB0lcDx7wWOCv9+Szg\nyw28Rl8YnjtYceRMLRF7FsKb2hk1O5CzzGOo1Hn70dOP4sMrltbdxjx41rJZc7J0IH8ZeBLYCDxd\nzy9IuoKks3iBpIeB84HVwBclvQN4CHhzlgb3kye2T3HBtVs45ZgRPv+dh+r6nYnJqYrba+X6K33a\nrzVUs52dt+et28wVt/5oukP9jF8/pCWBJksqzMz2lCUYHBwRM4eJ1hQRZ1R56tVZXqefTUxOcfXG\nMYaHBqu+0dejVudu6c2wmRRKK1Iw563bvFvQ2xkx/bjZgOBZy2bNyRIMvi1paURsbltrCmpyaif7\nDs5haHBg1jkFldSarVx6027m036rqqpeceuPKm7/p1sfajoYeNayWXOy9Bm8AtgoaaukOyVtlnRn\nuxpWNBPbp7jw5KXMm1t5ycxy++y1+2U7etFzqs5WbkXevFWF46qNnNoVyV3D8tU37bGedL08a9ms\nOVnuDF7XtlYYBw0PTX96X7dpjD/74u1VV0x7esfuZaC+9R8/YfGq6ysOVW1F3rxVKZhaQ2nLZz03\ncufRilSYWZFlCQZ9N86/W5Q+wZaneBr5Y1d7o80ydLWSZlMwpfOqNadi5jONBDHPWjZrXJY00fXA\nden3G4EHgH9pR6OK5sKTk3x5eYqn1RpJvZQ0k4IpT11l5c5fs86p+84gInbr4ZN0NPDOlreoYEbS\n9NDy1Tc11Hlcr2aW0mwmBVNPob1qJTmK0PnriXLWLRpeAzkibpP00lY2pmgG54hXvWghy1ff1HQq\npx7N9B80moKp9eleML0+Q631HPpVN699bcVTdzCQ9GdlD+eQVCsdb3mLCmQXcOV3f8RUtZ7iNqgU\ndNr56bRaf8PI8BDfWnX89OPRQ+cX7hOyJ8pZN8lyZ7B/2c87SPoOWlGrqLB27gralxiqbI6S/oNt\nE5MMzx3k6amdbJ96dnTSbJ9OswaOemc/F7HztxcmyjmNVRxZ+gw+BCBp/+Rh/KxtrbK22RXP3h08\nsb3yjOdqn04bSWt4yGd13T5RzmmsYsmSJjoC+BwwP338OHBWRNxV8xetJ1X6dNpoWqOIn/rrkbVm\nVKc5jVUsWdJEa4E/i4ibASQdl257eRvaZbPIWvo6q0qfTjuR1ihSWqLb75p6IY1lrZMlGOxXCgQA\nEXGLpP3a0CarYY7gotOOmh6O2o6AUO3TabvTGp1IS3RbsOnmu6ZuT2NZa2WZdPaApL+UtDj9Og/4\nQbsaZpXtCqZrArUrnTA5tZMLrt2yxyS1dtf/aVUNpGq85kE2rvdULFmCwduBhcA16dcC4G3taJTV\nVrpNX7FsZLZFzho2MTnFyi/dsdsbZaWFby48eWnLPtm2Oy3R7mDTb9p9va27ZBlN9ATwrja2xeoU\nwOJV1zMyPNTWglFTu4L3XHk7a9ZvbUkp7Nm0Oy3hHHh23ZzGstaq+85A0tclDZc9nidpfXuaZfUY\nm5isemew394D05/oBtTc/UOn0intTktkWf7TrGiypIkWRMRE6UF6p/Dc1jfJZqr1Vh4Vnh8aHOB/\n/85SvrXqeH6w+g185LQjm04ndSKd0u60hHPgZtVlGU20S9KiiHgIQNKhuKx1R8z2Rw6SN85qI2RW\nLBvhPVfe3nQ7OpFOaWdaotuHcprlKUsw+ADwb5K+kT5+JXB265tkWc2s81Ntn1asa9DrnAM3q6zu\nNFFEfJWkON2VwBeBYyJius9A0kuyHFjSOZK2SLpL0hWS9s3y+/1m7uAcBudkT+bUm+aolCKpZGR4\niI+dfpTTKWYFk6XPgIh4PCKui4ivRMTjM57+XL2vI2mEZGTSaEQcAQwAb8nSln7z9I5galdk7uwt\n5fJn69ydmY+vZtvEpIcUmhVQw+sZVJD1Y+1ewJCkKWAusK2Fbek5pSUhd0YwOEfst89eTExWLiQ3\n09jEJCuvuoMLrt3Ck5NTVXPh5SmSarOXh+cOTlc1PWh4iI+efpSDgFkBZLozmEXdnckRMQb8LfAQ\n8AjwZER8rYVt6WlTu4Ltz+yoK60z/Ts7g4nJqbpn1lZKGw0OiJ/9fIdn6JoVUCuDQd0kzQPeBBwG\nHATsJ+nMCvudLWmDpA3j472/jk6WW6dndganHDMya1qnmtmGglZKBe239157LLTjGbpmxdDKNNEz\nGfZ9DfCDiBgHkHQNSfXTz5fvFBFrSSqjMjo62vPDWLOewM33jk+PElq86vrMx5ttKOjMkTWHVTmG\nZ+ia9b8sM5CXl6qUSjpT0kXpXAMAIuLYDMd9CDhW0lxJAl4N3JPh9wthbGKS5atvYt2msYbuDrIO\nBfUMXbPiypIm+iSwXdKRwHuBHwL/2MhBI+JW4CrgNmBz2o61jbxWvyt1Dtcyb+7gHsNSGxkK6hm6\nZsWVJU20IyJC0puAiyPi05LOavTAEXE+cH6jv18kUzsrJ5j223uALX91IlBfnf7Z9vEMXbPiyhIM\nnpJ0LvB7wG9IGgAG29Os4pijZI2CRmx/5tlyzLPNrK134RjP0DUrpixpotOBp4G3R8SjwAiwpi2t\nKojBAXHRaUc1XEQuSy7ftfzNrJYs5SgeBa4G9kk3PQ78czsaVRjpHcFzhmrfYA0OqOk+AdfyN7Na\nsowm+gOSTt9L0k0jwLp2NKoopnYFa9ZvpVYFipHhIdaceiRr3nxkU+UhPFLIzGrJ0mfwx8CvAbcC\nRMR9kryeQZNqVRIV7FaNtJlc/soTluzWZwAeKWRmz8oSDJ6OiGeUfoyVtBdez6AlROU/ZCs/tXuk\nkJnVkiUYfEPS+0mKy/0W8EfAV9rTrGIprVZWHhDa8andI4XMrJoso4lWAeMkk8TeCdwAnNeORhVR\nabUyl4w2szzUfWcQEbuAfwD+QdJ84OCIcJqoRepZrczMrF2yjCa6RdIBaSC4HbhU0kXta1pxuCPX\nzPKWJU30nIj4KXAycGlEHENSfdSakEwfCM658vbponRmZp2WJRjsJelA4DTguja1p3B2BUxO7fJi\nMmaWqyzB4K+A9cD9EfE9SYcD97WnWf1rttITLhFhZnnI0oH8JeBLZY8fAE5pR6P61YA0vdZxLS4R\nYWadVncwkHQpFeZGRcTbW9qiPrYzouoEs3IuEWFmnZZl0ll5P8G+wO8A21rbnP4xPDTIxOTUHttn\nCwQeWWRmeciSJrq6/LGkK4D/3/IW9YEzj13Eh1cs5bBV12eq1zEgebKZmeUiSwfyTC8EFrWqIf1i\n+fPn8+EVS4Hq6Z55cwcrLi/5kdOOdCAws1xk6TN4it2zHI8C72t5i3rUgMRHTjsSgOWrb2LbxCTD\n6drEU2VLmQ0NDnD+b78EcNE4M+seWdJE+7ezIb1MMB0IystEP7F9avr5Uu2h8jd9v/mbWbfIUo7i\nxnq2FVGQvLFXWlqy9HypY9gBwMy60azBQNK+aT2iBZLmSZqffi0GDmr0wJKGJV0l6V5J90h6WaOv\nlbeRtG+g1vwATyYzs25WT5roncB7SN74N/LsJNqfAp9o4tgXA1+NiFMl7Q3MbeK1clM+FPSg4aGa\nK5d5MpmZdatZ7wwi4uKIOAz4i4g4PCIOS7+OjIi/b+Sgkg4AXgl8Oj3GMxEx0chr5WFocE7FdQdW\nnrBkj1FC5TyZzMy6VZYO5I9LOgJ4Mcmks9L2f2zguIeTLJRzqaQjSe443h0R/1W+k6SzgbMBFi3q\njlGspTkElZSCwoe+smW687jEk8nMrJtl6UA+H/h4+vUq4P8AJzV43L2Ao4FPRsQy4L9IVlLbTUSs\njYjRiBhduHBhg4dqrdFD59d8fsWyETZ98LV87PSjvHKZmfWMLOUoTgWOBDZFxNskPQ/4VIPHfRh4\nOCJuTR9fRYVg0I3+/It3ALMPC/V6w2bWS7LMQJ5Ml77ckeb8HyNJ92QWEY8CP5JUypu8Gri7kdfq\ntJ0RXnPAzPpOlmCwQdIwyTrIG4HbgO82cew/BS6XdCdwFPDXTbxWR3mYqJn1mywdyH+U/vj/JH0V\nOCAi7mz0wBFxOzDa6O/nzcNEzayfNDQDOSIejIg7izwD2cNEzayfzHpnIGlfkglhCyTN49lJZwfQ\nxAzkXuZhombWb/Kcgdwzlj9/Pg/+56QrjJpZ35o1GETExcDFkv40Ij7egTZ1nQf/c5JvrTo+72aY\nmbVNltFEj0raH0DSeZKukXR0m9rVVdxZbGb9Lksw+MuIeErSK4ATgM8Cn2xPs7rL8NzBvJtgZtZW\nWYJBqVD/G0jKSHwZ2Lv1Teo+kWUhYzOzHpQlGIxJugQ4DbhB0j4Zf79nPTk5NftOZmY9LMub+WnA\neuDEtNz0fGBlW1rVZTynwMz6XT3zDH4hIn4WEduBa0rbI+IR4JHyfdrXzPwMzpHnFJhZ36vnzuDL\nkj4i6ZWS9ittlHS4pHdIWg+c2L4m5keCNW8+0nMKzKzv1TPP4NWSXk8y+Wx5uh7yFLAVuB44K61C\n2n9i9lLVZmb9oK5CdRFxA3BDm9vSddxXYGZFUXfV0ioTzJ4EfhgRO1rXpO7g+kNmViRZVjr7vyRL\nVd5JUp/oiPTnX5T0hxHxtTa0Lxcjrj9kZgWTZWjpg8CydE3iY4BlwF3Aa0jWQ+4LpdFDDgRmViRZ\ngsGLImJL6UFE3E0SHB5ofbPyM7UrvIqZmRVOljTRVkmfBL6QPj4d+H46E7mvpui6MJ2ZFU2WO4Pf\nB+4nWdvgHOCBdNsU8KpWNyxPHkVkZkWTZQ3kSUkfB74GBLA1Ikp3BH0z+9gzjs2siLIMLT2OpGz1\ngySjiQ6RdFZEfLPRg0saADYAYxHxxkZfp1WGhwa54KSXuPPYzAonS5/BR4DXRsRWAEm/DFwBHNPE\n8d8N3EOynnKuRoaHvJqZmRVWlj6DwVIgAIiI7wMNr/oi6WCStRE+1ehrtJI7jc2syLLcGWyQ9Gng\nc+njtwIbmzj2x4D3Avs38Rot405jMyuyLHcG/xPYAryLJL1zN/CHjRxU0huBxyKiZjCRdLakDZI2\njI+PN3Ko+toD7jQ2s0LLMproaeCi9KtZy4GT0mqo+wIHSPp8RJw545hrgbUAo6OjbVt8MnB1UjMr\ntnoWt9lM8n5ZUUT8ataDRsS5wLnp6x8H/MXMQNBJc5TXkc3MukM9dwa5D/lst11e8N7MCq6exW1+\n2M4GRMQtwC3tPIaZmdWWpQN5D5LWtqoheRoeaniErJlZX2gqGACXtKQVObvgpJfk3QQzs1xlDgaS\nDpC0P8BsQ0N7hUcSmVnR1R0MJI2mI4vuBO6SdIekZkpRmJlZl8hyZ/AZ4I8iYnFEHAr8MXBpe5rV\nWes2jeXdBDOzXGUJBk9FxL+WHkTEvwFPtb5Jnfehr2yZfSczsz6WpTbRdyVdQlKpNEhWOrtF0tEA\nEXFbG9rXEU9s76uF2szMMssSDI5Kv38w/S6SoPDy9LvrP5uZ9agsweB1wCnA4rLfi4j4q1Y3qtM8\nz8DMii5LMFgHTAC3AT9Pt/VFIQfPMzCzossSDA6OiBPb1pIceZ6BmRVdltFE35a0tG0tMTOz3GS5\nM3gF8PuSfgA8TdqB3EgJ624yb677C8zMsnYg953zf9v9BWZmWVY6a2sp67y4v8DMrPmqpWZm1gcK\nHQwG5PUuzcyg4MFgZ/TFNAkzs6YVOhiMDA/l3QQzs65Q6GCw8oQleTfBzKwrFDoYeCSRmVkil2Ag\n6RBJN0u6R9IWSe/Oox1mZpbIMumslXYAfx4Rt6XrKW+U9PWIuDun9piZFVoudwYR8UhpMZyIeAq4\nB+hozubMYxd18nBmZl0t9z4DSYuBZcCtFZ47W9IGSRvGx8dbetwPr3DNPTOzklyDgaRfAK4G3hMR\nP535fESsjYjRiBhduHBh5xtoZlYQuQUDSYMkgeDyiLgmr3aYmVl+o4kEfBq4JyIuyqMNZmb2rLzu\nDJYDvwccL+n29Ov1ObXFzKzwchlaGhH/RrI4jpmZdYHcRxOZmVn+HAzMzMzBwMzMHAzMzAwHAzMz\nw8HAzMxwMDAzMxwMzMwMBwMzM8PBwMzM6ONg8ODqNzT0nJlZEfVtMFi86vq8m2Bm1jP6NhiYmVn9\nHAzMzMzBwMzMHAzMzIw+DgbVRgx5JJGZ2Z5yWemsU/zGb2ZWn769MzAzs/o5GJiZmYOBmZnl2Gcg\n6UTgYmAA+FRErG71MSrNQh4eGuSCk17CimUjrT6cmVnPyuXOQNIA8AngdcCLgTMkvbiVx6hWjmJi\ncoqVX7qDdZvGWnk4M7Oellea6NeA+yPigYh4BvgC8KZOHXxqV7Bm/dZOHc7MrOvlFQxGgB+VPX44\n3bYbSWdL2iBpw/j4eEsbsG1isqWvZ2bWy/IKBqqwLfbYELE2IkYjYnThwoUtbcBBw0MtfT0zs16W\nVzB4GDik7PHBwLZOHXxwjlh5wpJOHc7MrOvlFQy+B7xQ0mGS9gbeAlzbygNUm308PDTImjcf6dFE\nZmZlchlaGhE7JP0JsJ5kaOlnImJLq4/jchRmZvXJbZ5BRNwA3JDX8c3M7FmegWxmZg4GZmbmYGBm\nZjgYmJkZoIg95np1JUnjwA8b/PUFwOMtbE638Hn1ln49L+jfc+uH8zo0ImadtdszwaAZkjZExGje\n7Wg1n1dv6dfzgv49t349r0qcJjIzMwcDMzMrTjBYm3cD2sTn1Vv69bygf8+tX89rD4XoMzAzs9qK\ncmdgZmY1OBiYmVl/BwNJJ0raKul+Savybk8Wkg6RdLOkeyRtkfTudPt8SV+XdF/6fV66XZL+Lj3X\nOyUdne8Z1CZpQNImSdeljw+TdGt6Xlempc2RtE/6+P70+cV5tns2koYlXSXp3vTavawfrpmkc9J/\nh3dJukLSvr14zSR9RtJjku4q25b5+kg6K93/Pkln5XEurda3wUDSAPAJ4HXAi4EzJL0431ZlsgP4\n84j4FeBY4I/T9q8CboyIFwI3po8hOc8Xpl9nA5/sfJMzeTdwT9njvwE+mp7XE8A70u3vAJ6IiBcA\nH03362YXA1+NiBcBR5KcY09fM0kjwLuA0Yg4gqTs/FvozWt2GXDijG2Zro+k+cD5wK+TrOd+fimA\n9LSI6Msv4GXA+rLH5wLn5t2uJs7ny8BvAVuBA9NtBwJb058vAc4o2396v277IlnZ7kbgeOA6kmVQ\nHwf2mnntSNa8eFn6817pfsr7HKqc1wHAD2a2r9evGc+uWT4/vQbXASf06jUDFgN3NXp9gDOAS8q2\n77Zfr3717Z0Bz/4DLnk43dZz0tvsZcCtwPMi4hGA9Ptz09166Xw/BrwX2JU+/kVgIiJ2pI/L2z59\nXunzT6b7d6PDgXHg0jQF9ilJ+9Hj1ywixoC/BR4CHiG5Bhvpj2sG2a9PT1y3rPo5GKjCtp4bRyvp\nF4CrgfdExE9r7VphW9edr6Q3Ao9FxMbyzRV2jTqe6zZ7AUcDn4yIZcB/8WzKoZKeOLc0BfIm4DDg\nIGA/khTKTL14zWqpdh79cn676edg8DBwSNnjg4FtObWlIZIGSQLB5RFxTbr5x5IOTJ8/EHgs3d4r\n57scOEnSg8AXSFJFHwOGJZUOHyUzAAADL0lEQVRW3itv+/R5pc8/B/hJJxucwcPAwxFxa/r4KpLg\n0OvX7DXADyJiPCKmgGuAl9Mf1wyyX59euW6Z9HMw+B7wwnTEw94kHV7X5tymukkS8Gngnoi4qOyp\na4HS6IWzSPoSStv/RzoC4ljgydKtbzeJiHMj4uCIWExyTW6KiLcCNwOnprvNPK/S+Z6a7t+Vn8Ii\n4lHgR5KWpJteDdxNj18zkvTQsZLmpv8uS+fV89cslfX6rAdeK2leetf02nRbb8u706KdX8Drge8D\n/wF8IO/2ZGz7K0huPe8Ebk+/Xk+Se70RuC/9Pj/dXySjp/4D2Ewy8iP385jlHI8Drkt/Phz4LnA/\n8CVgn3T7vunj+9PnD8+73bOc01HAhvS6rQPm9cM1Az4E3AvcBXwO2KcXrxlwBUm/xxTJJ/x3NHJ9\ngLen53c/8La8z6sVXy5HYWZmfZ0mMjOzOjkYmJmZg4GZmTkYmJkZDgZmZoaDgRWYpG9X2X6ZpFPT\nnwclrU6rU94l6buSKs2+baYdiyX9bitf0ywrBwMrrIh4eR27/S+S4mRHRFKx87eB/VvclMWAg4Hl\nysHACkvSz9LvkvT3ku6WdD1poTJJc4E/AP40Ip4GiIgfR8QX0+fPkLQ5vWP4m5mvm/58qqTL0p8v\nS+vjf1vSA6W7D2A18BuSbpd0TvvP3GxPDgZm8DvAEmApyZt/6Y7hBcBDUaFAoKSDSOr0H08y6/il\nklbUcawDSWaXv5EkCEBSzO5fI+KoiPhoMydi1igHAzN4JXBFROyMiG3ATXX8zkuBWyIp3rYDuDx9\nndmsi4hdEXE38LzGm2zWWg4GZolKdVnuBxZJqtRHUKmMcaXX2nfGc0/X+RpmHeVgYAbfBN6iZF3m\nA4FXAUTEdpLKsX9Xtr7vgZLOJFlo6DclLUiXWD0D+Eb6ej+W9CuS5pCkoGbzFK3vlDbLxMHADP6Z\npGLlZpJ1br9R9tx5JKuX3Z0uor4OGI+klPG5JGWc7wBui4hS6eNVJEtD3kRSIXM2dwI7JN3hDmTL\ni6uWmpmZ7wzMzMzBwMzMcDAwMzMcDMzMDAcDMzPDwcDMzHAwMDMz4L8BvlPWNGcfM9EAAAAASUVO\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2363a1d4cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in star_list:\n",
    "    df_star = df[df['type']==i]\n",
    "    plt.title(i)\n",
    "    plt.scatter(df_star['idCount'],np.log(df_star['statuses_count']))\n",
    "    plt.xlabel(\"idCount\")\n",
    "    plt.ylabel(\"np.log(statuses_count)\")\n",
    "    plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEWCAYAAABrDZDcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x236371ea240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEWCAYAAABrDZDcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWZ/7/1McxVNv9MQGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2362d86c4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEWCAYAAABrDZDcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKRCIiPQ4BQIRkR73/wECOnVFfGnBpAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23639f87748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in star_list:\n",
    "    df_star = df[df['type']==i]\n",
    "    plt.title(i)\n",
    "    plt.scatter(df_star['idCount'],df_star['urank'])\n",
    "    plt.xlabel(\"idCount\")\n",
    "    plt.ylabel(\"urank\")\n",
    "    plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                 followers_count  follow_count  statuses_count     urank  \\\n",
      "followers_count         1.000000      0.019087        0.070023  0.043471   \n",
      "follow_count            0.019087      1.000000        0.338229  0.289607   \n",
      "statuses_count          0.070023      0.338229        1.000000  0.331057   \n",
      "urank                   0.043471      0.289607        0.331057  1.000000   \n",
      "description             0.011737      0.089363        0.107741  0.342257   \n",
      "idCount                 0.000789     -0.013444        0.044440 -0.011091   \n",
      "label                   0.047732     -0.010070        0.010709  0.100558   \n",
      "\n",
      "                 description   idCount     label  \n",
      "followers_count     0.011737  0.000789  0.047732  \n",
      "follow_count        0.089363 -0.013444 -0.010070  \n",
      "statuses_count      0.107741  0.044440  0.010709  \n",
      "urank               0.342257 -0.011091  0.100558  \n",
      "description         1.000000 -0.012058  0.113063  \n",
      "idCount            -0.012058  1.000000  0.006623  \n",
      "label               0.113063  0.006623  1.000000  \n"
     ]
    }
   ],
   "source": [
    "print(df[['followers_count','follow_count','statuses_count','urank','description','idCount','label']].corr())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
